Journal articles on the topic 'Loi de Laplace'

Il est communément admis que la distribution statistique des précipitations cumulées annuelles suit une loi de Laplace-Gauss. Les écarts entre cette loi et les distributions empiriques sont cependant un fait d'expérience : au-delà d'une probabilité au non dépassement correspondant à une période de retour d'une vingtaine d'années et pour les valeurs les plus fortes de pluie, l'ajustement n'est plus acceptable. Ce décrochage par rapport à la loi normale est mieux mis en évidence par l'étude des longues séries pluviométriques, plus riches en événements extrêmes. Pour étudier le comportement statistique de ces derniers, il est fait appel à un formalisme multifractal qui permet de mettre en évidence que, contrairement à ce qui est généralement admis, la décroissance de la probabilité au dépassement est de nature hyperbolique plutôt qu'exponentielle. Les probabilités des événements catastrophiques sont donc plus importantes que l'on ne le croyait jusqu'ici, ce qui peut avoir des conséquences particulièrement importantes. Cette approche appliquée à un ensemble de séries pluviométriques de longue durée permet de cerner le paramètre caractérisant la décroissance de la probabilité au dépassement. Les résultats obtenus jusqu'ici laissent à penser que ce paramètre pourrait être universel.

The nonlinearp-Laplace diffusion (p>1) was considered in the Cohen-Grossberg neural network (CGNN), and a new linear matrix inequalities (LMI) criterion is obtained, which ensures the equilibrium of CGNN is stochastically exponentially stable. Note that, ifp=2,p-Laplace diffusion is just the conventional Laplace diffusion in many previous literatures. And it is worth mentioning that even ifp=2, the new criterion improves some recent ones due to computational efficiency. In addition, the resulting criterion has advantages over some previous ones in that both the impulsive assumption and diffusion simulation are more natural than those of some recent literatures.

In this paper, a class of nonlinear p-Laplace diffusion BAM Cohen-Grossberg neural networks (BAM CGNNs) with time delays is investigated. In the case of p>1 with p≠2, the authors construct novel Lyapunov functional to overcome the mathematical difficulties of nonlinear p-Laplace diffusion time-delay model with parameter uncertainties, deriving the LMI-based robust stability criterion applicable to computer MATLAB LMI toolbox and deleting the boundedness of the amplification functions. And in the case of p=2, LMI-based sufficient conditions are also inferred for robust input-to-state stability of reaction-diffusion Markovian jumping BAM CGNNs with the event-triggered control, which is different from those of many previous related literature. In particular, the role of diffusion can be reflected in newly acquired criteria. Finally, numerical examples verify the effectiveness of the proposed methods.

Lyapunov stability theory, variational methods, Gronwall-Bellman-type inequalities theorem, and linear matrices inequality (LMI) technique are synthetically employed to obtain the LMI-based global stochastic exponential stability criterion for a class of time-delays Laplace diffusion stochastic equations with large impulsive range under Dirichlet boundary value, whose backgrounds of physics and engineering are the impulsive Markovian jumping time-delays reaction-diffusion BAM neural networks. As far as the authors know, it is the first time to derive the LMI-based criterion by way of Gronwall-Bellman-type inequalities, which can be easily and efficiently computed by computer Matlab LMI toolbox. And the obtained criterion improves the allowable upper bounds of impulse against those of some previous related literature. Moreover, a numerical example is presented to illustrate the effectiveness of the proposed methods.

In this study we investigated, using a simple polymer model of bacterial chromosome, the subdiffusive behaviors of both cytoplasmic particles and various loci in different cell wall confinements. Non-Gaussian subdiffusion of cytoplasmic particles as well as loci were obtained in our Langevin dynamic simulations, which agrees with fluorescence microscope observations. The effects of cytoplasmic particle size, locus position, confinement geometry, and density on motions of particles and loci were examined systematically. It is demonstrated that the cytoplasmic subdiffusion can largely be attributed to the mechanical properties of bacterial chromosomes rather than the viscoelasticity of cytoplasm. Due to the randomly positioned bacterial chromosome segments, the surrounding environment for both particle and loci is heterogeneous. Therefore, the exponent characterizing the subdiffusion of cytoplasmic particle/loci as well as Laplace displacement distributions of particle/loci can be reproduced by this simple model. Nevertheless, this bacterial chromosome model cannot explain the different responses of cytoplasmic particles and loci to external compression exerted on the bacterial cell wall, which suggests that the nonequilibrium activity, e.g., metabolic reactions, play an important role in cytoplasmic subdiffusion.

This paper studies the stability and controllability of Euler-Bernoulli beams whose bending vibration is controlled through intelligent constrained layer (ICL) damping treatments proposed by Baz (1993) and Shen (1993, 1994). First of all, the homogeneous equation of motion is transformed into a first order matrix equation in the Laplace transform domain. According to the transfer function approach by Yang and Tan (1992), existence of nontrivial solutions of the matrix equation leads to a closed-form characteristic equation relating the control gain and closed-loop poles of the system. Evaluating the closed-form characteristic equation along the imaginary axis in the Laplace transform domain predicts a threshold control gain above which the system becomes unstable. In addition, the characteristic equation leads to a controllability criterion for ICL beams. Moreover, the mathematical structure of the characteristic equation facilitates a numerical algorithm to determine root loci of the system. Finally, the stability and controllability of Euler-Bernoulli beams with ICL are illustrated on three cantilever beams with displacement or slope feedback at the free end.

The robust exponential stability of delayed fuzzy Markovian-jumping Cohen-Grossberg neural networks (CGNNs) with nonlinearp-Laplace diffusion is studied. Fuzzy mathematical model brings a great difficulty in setting up LMI criteria for the stability, and stochastic functional differential equations model with nonlinear diffusion makes it harder. To study the stability of fuzzy CGNNs with diffusion, we have to construct a Lyapunov-Krasovskii functional in non-matrix form. But stochastic mathematical formulae are always described in matrix forms. By way of some variational methods inW1,p(Ω),Itôformula, Dynkin formula, the semi-martingale convergence theorem, Schur Complement Theorem, and LMI technique, the LMI-based criteria on the robust exponential stability and almost sure exponential robust stability are finally obtained, the feasibility of which can efficiently be computed and confirmed by computer MatLab LMI toolbox. It is worth mentioning that even corollaries of the main results of this paper improve some recent related existing results. Moreover, some numerical examples are presented to illustrate the effectiveness and less conservatism of the proposed method due to the significant improvement in the allowable upper bounds of time delays.

A new method is presented for active vibration control of the axially moving string, one of the most common models of axially moving continua. The control is formulated in the Laplace transform domain. The transfer function of a closed-loop system, consisting of the plant, a feedback control law and the dynamics of the sensing and actuation devices, is derived. Analysis of the root loci of the closedloop system gives two stability criteria. Stabilizing controller design is carried out of both collocation and noncollocation of the sensor and actuator. It is found that all the modes of vibration can be stabilized and that in principle the spillover instability can be avoided. Also, the steady-state response of the stabilized string to periodic, external excitation is presented in closed form.

The well-known root-locus method is developed for special subset of linear time-invariant systems known as fractional-order systems. Transfer functions of these systems are rational functions with polynomials of rational powers of the Laplace variables. Such systems are defined on a Riemann surface because of their multivalued nature. A set of rules for plotting the root loci on the first Riemann sheet is presented. The important features of the classical root-locus method such as asymptotes, roots condition on the real axis, and breakaway points are extended to fractional case. It is also shown that the proposed method can assess the closed-loop stability of fractional-order systems in the presence of a varying gain in the loop. Three illustrative examples are presented to confirm the effectiveness of the proposed algorithm.

In this research, the analysis of the active circuit in the fractional domain has been performed by using the fractional differential equation approach where themeasurability in time dimension of the derivative term has also been concerned unlike the previous work. The OTA-C filter has been adopted as the candidate active circuit due to its compactness and renown. The derivative term of the fractional differential equation which includes the fractional time component parameters for obtaining such time dimensional measurability, has been interpreted in Caputo sense and the analytical solution of such equation has been determined with the aid of Laplace transformation. With the obtained solution, the time dimensional measurability aware fractional derivative based circuit responses to various inputs have been determined, the circuit fractional time constant and other crucial time parameters has been determined and thetemporal behaviour of the circuit has been analysed in the fractional domain. The loci of the pole on W-plane has been determined and the stability analysis has also been presented. Moreover, we also mathematically proof that the OTA-C filter in the fractional domain can be electronically realized with time dimensionalmeasurability awareness by using the state of the art fractional capacitor.

Abstract Background: We deal with interlaboratory experiments (collaborative studies) in which k participating laboratories, selected randomly from a population of laboratories, use samples from one and the same material or matrix. They perform binary microbiological measurements for which the measurement results are either “0” (target microorganisms not detected) or “1” (target microorganisms detected). The performance of such a measurement method is described by its probability of detection (POD) function, i.e., the POD as a function of the contamination of the sample (CFU per gram or CFU per milliliter), or by the level of detection (LODp), i.e., the contamination level of the sample that is detected (measurement result “1”) with a specified probability p. Objective: We derive an approximate statistical analysis that is simple enough to be implemented in a spreadsheet application. Methods: Under the assumption of a Poisson distribution of the number of CFU in the samples, we estimate the mean POD function of the laboratories and the SD of the laboratory effect based on a complementary log-log model, a special case of the Generalized Linear Model in the special situation in which the contamination level is known by means other than the POD. The estimates are obtained by maximization of the Laplace approximation of the likelihood function. By simulation, a bias correction factor for the estimate of the SD is obtained. With the estimated POD function, LODs can be estimated. The model can also be used to evaluate the relative LOD of an alternative method with repect to a reference method. Results: The EXCEL program PODLOD-interlab_ver1.xls for this method of statistical analysis can be downloaded from http://www.wiwiss.fu-berlin.de/fachbereich/vwl/iso/ehemalige/wilrich. Highlights: A simple approximate statistical method for the estimation of the POD and LOD is derived. The method also allows the estimation of the RLOD of an alternative method with respect to reference method. The method is implemented in an EXCEL program that can be downloaded from http://www.wiwiss.fu-berlin.de/fachbereich/vwl/iso/ehemalige/wilrich.

A ventriculectomia parcial promove uma redução no diâmetro ventricular esquerdo, baseando-se na lei de Laplace (T = P X R, sendo T = tensão muscular do ventrículo, P = pressão intracavitária, R = raio da cavidade ventricular) e tem sido usada em seres humanos para o tratamento da cardiomiopatia dilatada (BATISTA,1996). Com o objetivo de promover uma redução do diâmetro ventricular esquerdo e visando uma alternativa no tratamento de cães com doença similar, foi proposta uma nova técnica experimental denominada de Imbricamento da Parede Livre do Ventrículo Esquerdo, realizado em Curitiba - PR. Foram utilizados dez cães sem raça definida, sendo seis machos e quatro fêmeas, livres de dilatação cardíaca, dos quais oito foram submetidos ao imbricamento da parede livre do ventrículo esquerdo, e dois sofreram toracotomia e pericardiotomia, correspondendo ao grupo controle. Os animais receberam acepromazina e sulfato de atropina com medicação pré-anestésica e a anestesia foi induzida com tiopental sódico e mantida com éter por via inalatória. Após toracotomia intercostal esquerda realizada no 5º espaço e pericardiotomia em "t", foram aplicados três pontos de Wolff, transfixantes, com fio polipropileno 3-0 agulhado em uma área pouco vascularizada do ventrículo esquerdo, causando o imbricamento. Foram realizados exames ecocardiográficos (ecocardiografia bidimensional, em modo M e ecocardiodoppler colorido) 24 h antes e 48 h após a cirurgia, demonstrando-se uma redução média do diâmetro do ventrículo esquerdo em diástole de 23,5% (35,2625 ± 5,1978 x 26,9000 ± 4,0567; p<0,01). O eletrocardiograma foi registrado 24 h antes, 24 h, 48 h, 7, 15, 21, 30 e 60 dias após a intervenção. A principal alteração observada foi a presença de extrassístoles ventriculares, que regrediram espontaneamente em 48 h. Não houve óbitos. A técnica é barata e dispensa o uso de circulação extracorpória. Considerando os resultados obtidos, sugere-se realizar um estudo desta técnica em cães portadores de cardiomiopatia dilatada.

Journal of Education and Training Studies (JETS) would like to acknowledge the following reviewers for their assistance with peer review of manuscripts for this issue. Many authors, regardless of whether JETS publishes their work, appreciate the helpful feedback provided by the reviewers. Their comments and suggestions were of great help to the authors in improving the quality of their papers. Each of the reviewers listed below returned at least one review for this issue.Reviewers for Volume 6, Number 8Alkan Uğurlu, TurkeyAngel H. Y. Lai, Hong Kong Baptist University, Hong KongBegüm Yalçınkaya, Çanakkale Onsekiz Mart University, TurkeyCagla Atmaca, Pamukkale University, TurkeyCarmen Pérez-Sabater, Universitat Poltècnica de València, SpainCynthia M. Compton, Wingate University, USADamodar Khanal, The University of Manchester, UKEnisa Mede, Bahcesehir University, TurkeyErica D. Shifflet-Chila, Michigan State University, USAGüner Çiçek, University Of Hitit, TurkeyGunkut Mesci, Giresun University, TurkeyHasan Şahan, TurkeyHülya Uğur Tanriöver, Giresun University, Turkeyİbrahim Yaşar Kazu, Firat University, TurkeyIntakhab Khan, King Abdulaziz University, Saudi ArabiaIoannis Syrmpas, University of Thessaly, GreeceJohn Cowan, Edinburgh Napier University, UKJon S. Turner, Missouri State University, USALaura Bruno, The College of New Jersey, USALeila Youssef, Arab Open University, LebanonLorna T. Enerva, Polytechnic University of the Philippines, PhilippinesMahmut Gulle, Sirnak University, TurkeyMarcie Zaharee, The MITRE Corporation, USAMaurizio Sajeva, Pellervo Economic Research PTT, FinlandMehmet Inan, Marmara University, TurkeyMeral Seker, Alanya Alaaddin Keykubat University, TurkeyMichail Kalogiannakis, University of Crete, GreeceMustafa Çakır, Marmara Üniversity, TurkeyMustafa Güçlü, Erciyes University, TurkeyNurullah Şahin, Sinop University, TurkeyOktay Çoban, TurkeyOzgur Demirtas, Inonu University, TurkeyOzkan Guler, TurkeyPirkko Siklander, University of Lapland, FinlandSadia Batool, Preston University Islamabad, PakistanSandro Sehic, Oneida BOCES, USASayim Aktay, Mugla Sitki Kocman University, TurkeySelloane Pitikoe, University of Kwazulu-Natal, South AfricaStamatis Papadakis, University of Crete, GreeceYalçın Dilekli, Aksaray University, TurkeyZait Burak Aktuğ, Turkey Robert SmithEditorial AssistantOn behalf of,The Editorial Board of Journal of Education and Training StudiesRedfame Publishing9450 SW Gemini Dr. #99416Beaverton, OR 97008, USAURL: http://jets.redfame.com

In the present paper, it is found conditions on the complex coefficient of the Beltrami equations with the degeneration of the uniform ellipticity in the unit disk under which their generalized homeomorphic solutions are continuous by Hölder on the boundary. These results can be applied to the investigations of various boundary value problems for the Beltrami equations. In a series of recent papers, under the study of the boundary value problems of Dirichlet, Hilbert, Neumann, Poincare and Riemann with arbitrary measurable boundary data for the Beltrami equations as well as for the generalizations of the Laplace equation in anisotropic and inhomogeneous media, it was applied the logarithmic capacity, see e.g. Gutlyanskii V., Ryazanov V., Yefimushkin A. On the boundary value problems for quasiconformal functions in the plane // Ukr. Mat. Visn. - 2015. - 12, no. 3. - P. 363-389; transl. in J. Math. Sci. (N.Y.) - 2016. - 214, no. 2. - P. 200-219; Gutlyanskii V., Ryazanov V., Yefimushkin A. On a new approach to the study of plane boundary-value problems // Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki. - 2017. - No. 4. - P. 12-18; Yefimushkin A. On Neumann and Poincare Problems in A-harmonic Analysis // Advances in Analysis. - 2016. - 1, no. 2. - P. 114-120; Efimushkin A., Ryazanov V. On the Riemann-Hilbert problem for the Beltrami equations in quasidisks // Ukr. Mat. Visn. - 2015. - 12, no. 2. - P. 190–209; transl. in J. Math. Sci. (N.Y.) - 2015. - 211, no. 5. - P. 646–659; Yefimushkin A., Ryazanov V. On the Riemann–Hilbert Problem for the Beltrami Equations // Contemp. Math. - 2016. - 667. - P. 299-316; Gutlyanskii V., Ryazanov V., Yakubov E., Yefimushkin A. On Hilbert problem for Beltrami equation in quasihyperbolic domains // ArXiv.org: 1807.09578v3 [math.CV] 1 Nov 2018, 28 pp. As well known, the logarithmic capacity of a set coincides with the so-called transfinite diameter of the set. This geometric characteristic implies that sets of logarithmic capacity zero and, as a consequence, measurable functions with respect to logarithmic capacity are invariant under mappings that are continuous by Hölder. That circumstance is a motivation of our research. Let \(D\) be a domain in the complex plane \(\mathbb C\) and let \(\mu: D\to\mathbb C\) be a measurable function with \( |\mu(z)| \lt 1 \) a.e. The equation of the form \(f_{\bar{z}}\ =\ \mu(z) f_z \) where \( f_{\bar z}={\bar\partial}f=(f_x+if_y)/2 \), \(f_{z}=\partial f=(f_x-if_y)/2\), \(z=x+iy\), \( f_x \) and \( f_y \) are partial derivatives of the function \(f\) in \(x\) and \(y\), respectively, is said to be a Beltrami equation. The function \(\mu\) is called its complex coefficient, and \( K_{\mu}(z)=\frac{1+|\mu(z)|}{1-|\mu(z)|}\) is called its dilatation quotient. The Beltrami equation is said to be degenerate if \({\rm ess}\,{\rm sup}\,K_{\mu}(z)=\infty\). The existence of homeomorphic solutions in the Sobolev class \(W^{1,1}_{\rm loc}\) has been recently established for many degenerate Beltrami equations under the corresponding conditions on the dilatation quotient \(K_{\mu}\), see e.g. the monograph Gutlyanskii V., Ryazanov V., Srebro U., Yakubov E. The Beltrami equation. A geometric approach. Developments in Mathematics, 26. Springer, New York, 2012 and the further references therein. The main theorem of the paper, Theorem 1, states that a homeomorphic solution \( f:\mathbb D\to\mathbb D \) in the Sobolev class \( W^{1,1}_{\rm loc} \) of the Beltrami equation in the unit disk \(\mathbb D\) has a homeomorphic extension to the boundary that is Hölder continuous if \(K_{\mu}\in L^1(\Bbb D)\) and, for some \(\varepsilon_0\in(0,1)\) and \(C\in[1,\infty)\), $$ \sup\limits_{\varepsilon\in(0,\varepsilon_0)} \int_{\mathbb D\cap D(\zeta,\varepsilon)}K_{\mu}(z) dm(z) \lt C \qquad \forall \zeta \in \partial \mathbb{D} $$ where \(D(\zeta,\varepsilon)=\left\{z\in{\Bbb C}: |z-\zeta| \lt \varepsilon\right\}\).

SUMMARY After general comments (Section 1) on using variational procedures to compute the oblateness of internal strata in the Earth and slowly rotating planets, we recall briefly some basic concepts about barotropic equilibrium figures (Section 2), and then proceed to discuss several accurate methods to derive the internal flattening. The algorithms given in Section 3 are based on the internal gravity field theory of Clairaut, Laplace and Lyapunov. They make explicit use of the concept of a level surface. The general formulation given here leads to a number of formulae which are of both theoretical and practical use in studying the Earth's structure, dynamics and rotational evolution. We provide exact solutions for the figure functions of three Earth models, and apply the formalism to yield curves for the internal flattening as a function of the spin frequency. Two more methods, which use the general deformation equations, are discussed in Section 4. The latter do not rely explicitly on the existence of level surfaces. They offer an alternative to the classical first-order internal field theory, and can actually be used to compute changes of the flattening on short timescales produced by variations in the LOD. For short durations, the Earth behaves elastically rather than hydrostatically. We discuss in some detail static deformations and Longman's static core paradox (Section 5), and demonstrate that in general no static solution exists for a realistic Earth model. In Section 6 we deal briefly with differential rotation occurring in cylindrical shells, and show why differential rotation of the inner core such as has been advocated recently is incompatible with the concept of level surfaces. In Section 7 we discuss first-order hydrostatic theory in relation to Earth structure, and show how to derive a consistent reference Earth model which is more suitable for geodynamical modelling than are modern Earth models such as 1066-A, PREM or CORE11. An important result is that a consistent application of hydrostatic theory leads to an inertia factor of about 0.332 instead of the value 0.3308 used until now. This change automatically brings ‘hydrostatic’ values of the flattening, the dynamic shape factor and the precessional constant into much better agreement with their observed counterparts than has been assumed hitherto. Of course, we do not imply that non-hydrostatic effects are unimportant in modelling geodynamic processes. Finally, we discuss (Sections 7–8) some implications of our way of looking at things for Earth structure and some current problems of geodynamics. We suggest very significant changes for the structure of the core, in particular a strong reduction of the density jump at the inner core boundary. The theoretical value of the free core nutation period, which may be computed by means of our hydrostatic Earth models CGGM or PREMM, is in somewhat better agreement with the observed value than that based on PREM or 1066-A, although a significant residue remains. We attribute the latter to inadequate modelling of the deformation, and hence of the change in the inertia tensor, because the static deformation equations were used. We argue that non-hydrostatic effects, though present, cannot explain the large observed discrepancy of about 30 days.

PT. Lafarge Cement Indonesia (LCI) Lhoknga, have produced their products to reach 1.78 million tons per year onwards. PT. Lafarge Cement Andalas (LCI) Indonesia Lhoknga has port facilities themselves in Lhoknga, also some bag terminal contained in Lhokseumawe, Belawan, Batam, and On the distribution of bagged cement in Lhoknga packing stasiun is not maximized because of the overall quota provided only 60% per month which taken by the distributor of the sales target. Distribution scheduling methods do by using Visual Basic 2010 facilitated program Semen RF Ugha 68. An initial simulation results can be used to analyze the amount of the distribution and the distribution shifts per day with a certain amount of quota that is not the same each month or per day depending on the number of working days will be used. In the program Ugha Cement RF 68 just counting the number of quota per month, per day, the amount of the effective time, the number of maneuvers the truck, and the number of bags per day to be distributed. The final results of how the amount of the actual time required to distribute the total quota Based on the results waiting time machine the bag terminal caused by several things including, the quota system, scheduling less well planned, distributors do not consistently take the cement appropriate amount of quota per day that has been allocated, and the determination of the day working up to 30 working days to reach the number of hours worked two shifts.Keywords: PT. Lafarge Cement Indonesia, distribution scheduling, Visual Basic 2010, ugha Cement RF 68.

Sommaire La prétention que l'employeur n'est pas admis, selon les dispositions de la Loi des Relations ouvrières, à soumettre une requête en vue d'un retrait d'un certificat pour le motif que le groupement certifié ne détient plus la majorité absolue, doit être rejetée. Le droit d'association ne doit pas être confondu avec le droit au certificat. La portée très large de l'article 41 de la L.R.O. comprend la considération d'une telle demande de la part d'un employeur. Les Boiseries Plessis Enrg. -vs- Le Syndicat National du Bois ouvré de Tlessisville; M. le juge Théodore Lespérance, président, MM. J.-E. Corbeil et Benoît Tousignant, commissaires; Commissions des Relations ouvrières de Québec, D-131, Montréal, le 30 juin 1961. — Procureurs: Laplante, Gagné, Trottier, Letarte et Brown, pour la requérante; Me Majella Lemay, C.T., pour l'intimé.

<p style='text-indent:20px;'>We consider the conserved phase-field system</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE111"> \begin{document}$\left\{ \begin{array}{l}\tau {\phi _t} + N(\delta {\phi _t} + N\phi + g(\phi ) - u) = 0,\\\epsilon{u_t} + {\phi _t} + Nu = 0,\end{array} \right.\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\left( {{{\rm{S}}_\varepsilon }} \right)$\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>where <inline-formula><tex-math id="M1">\begin{document}$ \tau&gt;0 $\end{document}</tex-math></inline-formula> is a relaxation time, <inline-formula><tex-math id="M2">\begin{document}$ \delta&gt;0 $\end{document}</tex-math></inline-formula> is the viscosity parameter, <inline-formula><tex-math id="M3">\begin{document}$ \epsilon\in (0,1] $\end{document}</tex-math></inline-formula> is the heat capacity, <inline-formula><tex-math id="M4">\begin{document}$ \phi $\end{document}</tex-math></inline-formula> is the order parameter, <inline-formula><tex-math id="M5">\begin{document}$ u $\end{document}</tex-math></inline-formula> is the absolute temperature, the Laplace operator <inline-formula><tex-math id="M6">\begin{document}$ N = -\Delta:{\mathscr D}(N)\to \dot L^2(\Omega) $\end{document}</tex-math></inline-formula> is subject to either Neumann boundary conditions (in which case <inline-formula><tex-math id="M7">\begin{document}$ \Omega\subset{\mathbb R}^d $\end{document}</tex-math></inline-formula> is a bounded domain with smooth boundary) or periodic boundary conditions (in which case <inline-formula><tex-math id="M8">\begin{document}$ \Omega = \Pi_{i = 1}^d(0,L_i), $\end{document}</tex-math></inline-formula> <inline-formula><tex-math id="M9">\begin{document}$ L_i&gt;0 $\end{document}</tex-math></inline-formula>), <inline-formula><tex-math id="M10">\begin{document}$ d = 1,2 $\end{document}</tex-math></inline-formula> or 3, and <inline-formula><tex-math id="M11">\begin{document}$ G(\phi) = \int_0^\phi g(\sigma)d\sigma $\end{document}</tex-math></inline-formula> is a double-well potential. Let <inline-formula><tex-math id="M12">\begin{document}$ j = 1 $\end{document}</tex-math></inline-formula> when <inline-formula><tex-math id="M13">\begin{document}$ d = 1 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M14">\begin{document}$ j = 2 $\end{document}</tex-math></inline-formula> when <inline-formula><tex-math id="M15">\begin{document}$ d = 2 $\end{document}</tex-math></inline-formula> or 3. We assume that <inline-formula><tex-math id="M16">\begin{document}$ g\in{\mathcal C}^{j+1}(\mathbb R) $\end{document}</tex-math></inline-formula> and satisfies the conditions <inline-formula><tex-math id="M17">\begin{document}$ g'(\phi)\geq -{\mathscr C}_1 $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M18">\begin{document}$ G(\phi)\ge -{\mathscr C}_2 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M19">\begin{document}$ (\phi-m(\phi))g(\phi)-{\mathscr C}_3(m(\phi))G(s)\ge -{\mathscr C}_4(m(\phi)) $\end{document}</tex-math></inline-formula> (<inline-formula><tex-math id="M20">\begin{document}$ {\mathscr C}_5(\varrho)\le {\mathscr C}_l(m(\phi))\le {\mathscr C}_6(\varrho) $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M21">\begin{document}$ l = 3,4 $\end{document}</tex-math></inline-formula>, whenever <inline-formula><tex-math id="M22">\begin{document}$ |m(\phi)|\le \varrho $\end{document}</tex-math></inline-formula>), where <inline-formula><tex-math id="M23">\begin{document}$ \varrho,{\mathscr C}_1, {\mathscr C}_2,{\mathscr C}_4\ge 0 $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M24">\begin{document}$ {\mathscr C}_3, {\mathscr C}_5,{\mathscr C}_6&gt;0 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M25">\begin{document}$ m(\phi) = \frac{1}{|\Omega|}\int_\Omega\phi(x)dx $\end{document}</tex-math></inline-formula>. For instance, <inline-formula><tex-math id="M26">\begin{document}$ g(\phi) = \sum_{k = 1}^{2p-1}a_k\phi^k, $\end{document}</tex-math></inline-formula> <inline-formula><tex-math id="M27">\begin{document}$ p\in{\mathbb N}, $\end{document}</tex-math></inline-formula> <inline-formula><tex-math id="M28">\begin{document}$ p\ge 2, $\end{document}</tex-math></inline-formula> <inline-formula><tex-math id="M29">\begin{document}$ a_{2p-1}&gt;0, $\end{document}</tex-math></inline-formula> satisfies all the above-mentioned conditions. We then prove a well-posedness result, the existence of the global attractor and a family of exponential attractors in the phase space <inline-formula><tex-math id="M30">\begin{document}$ {\mathcal V}_j = {\mathscr D}(N^{j/2})\times{\mathscr D}(N^{j/2}) $\end{document}</tex-math></inline-formula> equipped with the norm <inline-formula><tex-math id="M31">\begin{document}$ \|(\psi,\varphi)\|_{{\mathcal V}_{j}} = (\|N^{j/2}\psi\|^2+m(\psi)^2+\|N^{j/2}\varphi\|^2+m(\varphi)^2)^{1/2} $\end{document}</tex-math></inline-formula>. Moreover, we demonstrate that the global attractor is upper semicontinuous at <inline-formula><tex-math id="M32">\begin{document}$ \epsilon = 0 $\end{document}</tex-math></inline-formula> in the metric induced by the norm <inline-formula><tex-math id="M33">\begin{document}$ \|.\|_{{\mathcal V}_{j+1}} $\end{document}</tex-math></inline-formula>. In addition, the exponential attractors are proven to be Hölder continuous at <inline-formula><tex-math id="M34">\begin{document}$ \epsilon = 0 $\end{document}</tex-math></inline-formula> in the metric induced by the norm <inline-formula><tex-math id="M35">\begin{document}$ \|.\|_{{\mathcal V}_{j}} $\end{document}</tex-math></inline-formula>. Our results improve a recent work by Bonfoh and Enyi [Comm. Pure Appl. Anal. 2016; 35:1077-1105] where the following additional growth condition <inline-formula><tex-math id="M36">\begin{document}$ |g''(\phi)|\leq {\mathscr C}_7\left(|\phi|^{p}+1\right), $\end{document}</tex-math></inline-formula> <inline-formula><tex-math id="M37">\begin{document}$ {\mathscr C}_7&gt;0 $\end{document}</tex-math></inline-formula>, <inline-formula><tex-math id="M38">\begin{document}$ p&gt;0 $\end{document}</tex-math></inline-formula> is arbitrary when <inline-formula><tex-math id="M39">\begin{document}$ d = 1, 2 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M40">\begin{document}$ p\in [0,3] $\end{document}</tex-math></inline-formula> when <inline-formula><tex-math id="M41">\begin{document}$ d = 3 $\end{document}</tex-math></inline-formula>, was required, preventing <inline-formula><tex-math id="M42">\begin{document}$ g $\end{document}</tex-math></inline-formula> to be a polynomial of any arbitrary odd degree with a strictly positive leading coefficient in three space dimension.</p>

Liebe LeserInnen,Schwerpunkt, ja Schwergewicht dieses (Doppel-)Heftes ist Fritz Morgenthaler (1919-1984), dem das Psychoanalytische Seminar anlässlich seines 20. Todestages einen internationalen Kongress gewidmet hat (»Traum – Technik – Sexualität«, vom 3. - 5. März 2005 im Volkshaus Zürich). Diese drei Tage standen unter dem Motto »Faire travailler Morgenthaler«, was laut Programmheft »frei nach Laplanche (dt. 1996)« bedeuten sollte »Morgenthaler zum Arbeiten bringen.« Ich übersetze: Morgenthaler produktiv wenden, sich an ihm abarbeiten. Eine Ehrung also nach der Art jener, wie die Teppichweber von Kujan-Bulak Lenin ehrten. Bertolt Brecht erzählt, sie hätten mit dem gesammelten Geld statt einer Büste Petroleum gekauft, um damit den Sumpf hinter dem Kamelfriedhof von Stechmücken zu befreien, die »das Fieber erzeug(t)en« »So nützten sie sich, indem sie Lenin ehrten und Ehrten ihn, indem sie sich nützten, und hatten ihn Also verstanden.«1Bei der Arbeit wollte niemand zurückstehen. Dem Aufruf Ralf Binswangers folgte erst eine Arbeitsgruppe (ausser ihm: Christian Hauser, Emilio Modena, Peter Passett, Vreni Schärer, Hans-Ruedi Schneider, Christoph Stettler, Judith Valk, Christine Widmer) und dann (fast) das ganze Seminar, buchstäblich alle Fraktionen, man könnte sagen das PSZ in corpore, wie ein Mann (natürlich haben dann bei der perfekten Organisationsarbeit vor allem unsere zwei Sekretärinnen Dorothea Bünzli und Martha Bachmann gearbeitet)…Man/frau hat sich die Arbeit mit Morgenthaler nicht leicht gemacht: In so genannten Werkbefragungen (acht fortlaufende und 18 einmal stattfindende Kleingruppen) wurden einschlägige Texte zu seinen drei »Kerngeschäften« (Binswanger) - Traum, Technik, Sexualität – und zur Ethnopsychoanalyse aufgearbeitet. In 20 Einzelvorträgen und Symposien (»Begegnungen und Kontroversen«) wurden sowohl die Tagesthemen als auch »spezielle Themen«, von der Ethnopsychoanalyse bis zur materialistischen Dialektik, vertieft, diskutiert, kritisiert, ergänzt. Lediglich die einführenden Hauptreferate und den öffentlichen Vortrag trauten sich die Zürcher nicht zu. Auch scheute man die Eloquenz unserer italienischen und französischen Vernetzungsfreunde und den Aufwand für die Simultanübersetzung. So wurden sie allesamt dem »grossen Bruder« im Norden anvertraut, solchermassen die besonderen Beziehungen des PSZ zu Frankfurt und zu München dokumentierend. Zwei Tagungsplena, die von eigens dazu bestellten Beobachterinnen eingeleitet wurden, rundeten den Kongress ab.Vom allgemeinen Arbeitsfieber ergriffen, liessen wir uns von der Redaktion dazu verführen, den Kongress zu dokumentieren – und hatten fortan die doppelte Arbeit. So ist dieses Heft zu Stande gekommen. Wir haben – abgesehen von den nicht dokumentierbaren Werkbefragungen und den nicht dokumentierten Diskussionen – nichts ausgelassen und lediglich die Forumbeiträge hinzu gefügt. Finanziert wird die weit über das normale Budget hinausgehende Publikation dank eines Beschlusses der Teilnehmerversammlung des PSZ aus dem Kongressgewinn, sodass unsere AbonnentInnen in den Genuss des Doppelheftes zum Preis eines Einzelheftes gelangen (werben Sie aber bitte für uns!). Lediglich vier Arbeiten, die unbedingt zum Ganzen dazu gehören, finden Sie hier aus verschiedenen Gründen nicht: »Die zentralen Theorien Fritz Morgenthalers im Vergleich mit Donald Meltzer als einem wichtigen Vertreter postkleinianischer Psychoanalyse« von Karl Mätzler (Salzburg) haben wir bereits in Heft 44 (Schwerpunkt »Schnittstellen«) vorpubliziert. »100 Jahre Traumdeutung« von Judith Valk (Zürich) müssen Sie in unserem Schwesternblatt in Salzburg, dem »Werkblatt«, nachschlagen. Und die Arbeit von Judith Le Soldat (Zürich) über »Agricola-agricolae – Vom Propfen zum Arschpenis« ist infolge einer ernsteren Erkrankung der Autorin ausgefallen. Schliesslich hat Pedro Grosz (Zürich) darauf verzichtet, seine Ausführungen über den Brief Fritz Morgenthalers an Heinz Kohut von 1983 zu verschriften. Diesen Brief finden Sie aber neu aufgelegt in den von Judith Valk im Psychosozial-Verlag herausgegebenen »Vermischten Schriften«.2Da Fritz Morgenthaler nicht nur Psychoanalytiker, sondern auch Maler war, gehörten zum Kongress die Vernissage und die Ausstellung seiner Bilder im Museum Baviera, die wir leider nur im Sinne einer Kostprobe dokumentieren können. Auf dem Cover ein Ausschnitt aus dem »Chinesischen Variété in Bangkok« von 1957, im Inneren die «Vögel, Afrika« (1964), das undatierte Aquarell »Sepik« und »New York« (1972). Ich danke den Söhnen Jan und Marco Morgenthaler für die grosszügige Überlassung der CD ihres Bildbandes, dem wir auch das Portrait von Fritz Morgenthaler entnommen haben.3Hatte ich nicht von einer perfekten Organisation geschrieben? Nein, nicht ganz. Die frei gehaltene Begrüssungsansprache von Paul Parin wurde nicht auf Band aufgenommen. Da ich aber gerade auf seine klaren, kenntnisreichen und herzlichen Ausführungen nicht verzichten wollte, habe ich ihn gebeten, sie mir aus der Erinnerung noch einmal vorzutragen. Mit diesen Erinnerungs- und Begrüssungsworten beginnt das Heft. Meiner Meinung nach hat sich die Arbeit gelohnt: Noch nie war das PSZ in seiner bald 30-jährigen Geschichte zu einer solchen kollektiven Leistung fähig, die jenseits aller Divergenzen und divergierenden Interpretationen und jenseits aller Egoismen und psychoanalytischen Dialekten die gemeinsame Wurzel und ein Zugehörigkeitsgefühl aller mit allen spürbar werden liess. Mein besonderer Dank gilt den in- und ausländischen Gästen, die die Arbeit mit uns zusammen angepackt und sich vom genius loci nicht haben abschrecken lassen.Emilio Modena P.S. Erst nach Redaktionsschluss ist klar geworden, dass es sich beim vorliegenden Doppelheft trotz verantwortbaren Kürzungen umfangsmässig in Wirklichkeit um ein Dreifach-Heft handelt. Und noch mehr kürzen mochten wir nicht… So haben wir trotz Zuschüssen aus dem Kongress-Gewinnfonds das Budget gesprengt und müssen sparen. Wir werden 2006 nur ein einziges Heft im Herbst herausbringen (Schwerpunkt Ethnopsychoanalyse). Das Schwerpunktheft »Psychoanalyse in den Transformationsstaaten« (ehemals real sozialistisch) muss auf Frühjahr 2007 verschoben werden.1Aus: B. Brecht »Die Teppichweber von Kujan-Bulak ehren Lenin«2Morgenthaler, F.(2005): Psychoanalyse, Traum, Ethnologie – vermischte Schriften, Giessen, S. 15-203Morgenthaler, J. und M. (2005): Löwen zeichnen. Vögel zaubern. Mit Fritz Morgenthaler verreisen, Giessen (Psychosozial-Verlag)