Relevant bibliographies by topics / Weakly nonlinear analysi

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Weakly nonlinear analysi'

Author: Grafiati
Published: 14 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Weakly nonlinear analysi"

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Zheng, Kelong, Wenqiang Feng, and Chunxiang Guo. "Some New Nonlinear Weakly Singular Inequalities and Applications to Volterra-Type Difference Equation." Abstract and Applied Analysis 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/912874.

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Some new nonlinear weakly singular difference inequalities are discussed, which generalize some known weakly singular inequalities and can be used in the analysis of nonlinear Volterra-type difference equations with weakly singular kernel. An application to the upper bound of solutions of a nonlinear difference equation is also presented.
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Cheng, Kelong, Chunxiang Guo, and Qingke Zeng. "On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/795456.

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Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. A few applications to the upper bound and the uniqueness of solutions of nonlinear difference equations are also involved.
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HUNTER, JOHN K. "SHORT-TIME EXISTENCE FOR SCALE-INVARIANT HAMILTONIAN WAVES." Journal of Hyperbolic Differential Equations 03, no. 02 (2006): 247–67. http://dx.doi.org/10.1142/s0219891606000781.

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We prove short-time existence of smooth solutions for a class of nonlinear, and in general spatially nonlocal, Hamiltonian evolution equations that describe the self-interaction of weakly nonlinear scale-invariant waves. These equations include ones that describe weakly nonlinear hyperbolic surface waves, such as nonlinear Rayleigh waves in elasticity.
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Song, Jiecheng, and Merry Ma. "Climate Change: Linear and Nonlinear Causality Analysis." Stats 6, no. 2 (2023): 626–42. http://dx.doi.org/10.3390/stats6020040.

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The goal of this study is to detect linear and nonlinear causal pathways toward climate change as measured by changes in global mean surface temperature and global mean sea level over time using a data-based approach in contrast to the traditional physics-based models. Monthly data on potential climate change causal factors, including greenhouse gas concentrations, sunspot numbers, humidity, ice sheets mass, and sea ice coverage, from January 2003 to December 2021, have been utilized in the analysis. We first applied the vector autoregressive model (VAR) and Granger causality test to gauge the
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Ibrahim, E. A., and S. P. Lin. "Weakly Nonlinear Instability of a Liquid Jet in a Viscous Gas." Journal of Applied Mechanics 59, no. 2S (1992): S291—S296. http://dx.doi.org/10.1115/1.2899503.

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The weakly nonlinear instability of a viscous liquid jet emanated into a viscous gas contained in a coaxial vertical circular pipe is investigated as an initial-value problem. The linear stability theory predicted that the jet may become unstable either due to capillary pinching or due to interfacial stress fluctuation. The results of nonlinear stability analysis shows no tendency of supercritical stability for both of the linearly unstable modes. In fact, the nonlinear growth rate of the disturbance is faster than the exponential growth rate of the linear normal mode disturbance for the same
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Spagnolo, Sergio, and Giovanni Taglialatela. "Analytic Propagation for Nonlinear Weakly Hyperbolic Systems." Communications in Partial Differential Equations 35, no. 12 (2010): 2123–63. http://dx.doi.org/10.1080/03605300903440490.

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Christianson, Hans, Jeremy Marzuola, Jason Metcalfe, and Michael Taylor. "Nonlinear Bound States on Weakly Homogeneous Spaces." Communications in Partial Differential Equations 39, no. 1 (2013): 34–97. http://dx.doi.org/10.1080/03605302.2013.845044.

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Rodriguez, Jesús, and Padraic Taylor. "Weakly nonlinear discrete multipoint boundary value problems." Journal of Mathematical Analysis and Applications 329, no. 1 (2007): 77–91. http://dx.doi.org/10.1016/j.jmaa.2006.06.024.

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Demenchuk, A. K. "Weakly irregular quasiperiodic solutions of nonlinear Pfaff systems." Differential Equations 44, no. 2 (2008): 186–91. http://dx.doi.org/10.1134/s0012266108020055.

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Dieter, Sabine. "Nonlinear degenerate curvature flows for weakly convex hypersurfaces." Calculus of Variations 22, no. 2 (2005): 229–51. http://dx.doi.org/10.1007/s00526-004-0279-4.

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Dissertations / Theses on the topic "Weakly nonlinear analysi"

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BERTAGNI, MATTEO BERNARD. "Linear and weakly nonlinear analyses on morphological instabilities." Doctoral thesis, Politecnico di Torino, 2019. http://hdl.handle.net/11583/2731657.

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Lira, Sérgio Henrique Albuquerque. "Viscous Fingering In Complex Magnetic Fluids: Weakly Nonlinear Analysis, Stationary Solutions And Phase-field Models." Universidade Federal de Pernambuco, 2014. https://repositorio.ufpe.br/handle/123456789/12734.

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Submitted by Daniella Sodre (daniella.sodre@ufpe.br) on 2015-04-08T13:19:43Z No. of bitstreams: 2 TESE Sérgio Henrique Lira.pdf: 10473188 bytes, checksum: ad39baf570ad4b641f94987468e9d1d0 (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5)<br>Made available in DSpace on 2015-04-08T13:19:43Z (GMT). No. of bitstreams: 2 TESE Sérgio Henrique Lira.pdf: 10473188 bytes, checksum: ad39baf570ad4b641f94987468e9d1d0 (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Previous issue date: 2014-02-21<br>CNPq; INCT-FCx.<br>Nesta Tese são empregada
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Aberle, Marcus. "The nonlinear analysis of shear-weak gridshells." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621337.

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Chen, Kewang. "Mathematical Analysis of Some Partial Differential Equations with Applications." ScholarWorks @ UVM, 2019. https://scholarworks.uvm.edu/graddis/1053.

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In the first part of this dissertation, we produce and study a generalized mathematical model of solid combustion. Our generalized model encompasses two special cases from the literature: a case of negligible heat diffusion in the product, for example, when the burnt product is a foam-like substance; and another case in which diffusivities in the reactant and product are assumed equal. In addition to that, our model pinpoints the dynamics in a range of settings, in which the diffusivity ratio between the burned and unburned materials varies between 0 and 1. The dynamics of temperature distribu
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LUPO, Salvatore. "FORMAZIONE DI PATTERN PER IL PROCESSO DELL'ELETTRODEPOSIZIONE IN MODELLI DI TIPO REAZIONE-DIFFUSIONE." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/90863.

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Moulin, Johann. "On the flutter bifurcation in laminar flows : linear and nonlinear modal methods." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX093.

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L'instabilité de flottement a été le sujet de nombreuses études depuis le milieu du vingtième siècle à cause de ses applications critiques en aéronautique. Elle est classiquement décrite comme un instabilité linéaire en écoulement potentiel, mais les effets visqueux et nonlinéaires du fluide peuvent avoir un impact crucial.La première partie de cette thèse est consacrée au développement de méthodes théoriques et numériques pour l'analyse linéaire et nonlinéaire de la dynamique d'une ``section typique aéroélastique'' --- une plaque montée sur des ressorts de flexion et torsion --- plongée dans
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Chekila, Abdelfateh. "Analyse non linéaire de la stabilité de l'écoulement de Poiseuille plan d'un fluide rhéofluidifiant." Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0022/document.

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L'objectif de cette thèse est d'analyser l'influence des non linéarités, du comportement rhéologique des fluides rhéofluidifiants, sur les conditions de stabilité et de transition vers la turbulence. Dans un premier temps, une analyse linéaire de stabilité avec une approche modale a été réalisée. Les résultats obtenus mettent clairement en évidence l'effet stabilisant de la rhéofluidification. Ensuite, une analyse faiblement non linéaire de stabilité a été menée en vue d'examiner l'influence de la perturbation de la viscosité sur la stabilité vis à vis de perturbations d'amplitude finie. L'ana
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GRIFO', Gabriele. "Pattern formation in hyperbolic reaction-transport systems and applications to dryland ecology." Doctoral thesis, Università degli Studi di Palermo, 2023. https://hdl.handle.net/10447/580054.

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Pattern formation and modulation is an active branch of mathematics, not only from the perspective of fundamental theory but also for its huge applications in many fields of physics, ecology, chemistry, biology, and other sciences. In this thesis, the occurrence of Turing and wave instabilities, giving rise to stationary and oscillatory patterns, respectively, is theoretically investigated by means of two-compartment reaction-transport hyperbolic systems. The goal is to elucidate the role of inertial times, which are introduced in hyperbolic models to account for the finite-time propagation of
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Abatangelo, N. "Large Solutions for Fractional Laplacian Operators." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/320258.

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The thesis studies linear and semilinear Dirichlet problems driven by different fractional Laplacians. The boundary data can be smooth functions or also Radon measures. The goal is to classify the solutions which have a singularity on the boundary of the prescribed domain. We first remark the existence of a large class of harmonic functions with a boundary blow-up and we characterize them in terms of a new notion of degenerate boundary trace. Via some integration by parts formula, we then provide a weak theory of Stampacchia's sort to extend the linear theory to a setting including these funct
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Filippini, Andrea Gilberto. "Free surface flow simulation in estuarine and coastal environments : numerical development and application on unstructured meshes." Thesis, Bordeaux, 2016. http://www.theses.fr/2016BORD0404/document.

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Over the last decades, there has been considerable attention in the accurate mathematical modeling and numerical simulations of free surface wave propagation in near-shore environments. A physical correct description of the large scale phenomena, which take place in the shallow water region, must account for strong nonlinear and dispersive effects, along with the interaction with complex topographies. First, a study on the behavior in nonlinear regime of different Boussinesq-type models is proposed, showing the advantage of using fully-nonlinear models with respect to weakly-nonlinear and weak
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Books on the topic "Weakly nonlinear analysi"

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1959-, Fitzmaurice N., ed. Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics. Birkhäuser, 1993.

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Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications. Taylor & Francis Group, 2015.

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Jeribi, Aref, and Bilel Krichen. Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications. Taylor & Francis Group, 2015.

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Jeribi, Aref, and Bilel Krichen. Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications. Taylor & Francis Group, 2015.

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FITZMAURICE, GURARIE, MCCAUGHAN, and WOYCZYNSKI. Weak Turbulance and Nonlinear Waves with Applications to Geophysics and Oceanography (Progress in Nonlinear Differential Equations and Their Applications). Birkhauser, 1993.

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Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics. Birkhauser, 1993.

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Gabizon, Ariel. Deterministic Extraction from Weak Random Sources. Springer, 2010.

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Gabizon, Ariel. Deterministic Extraction from Weak Random Sources. Springer, 2010.

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Gabizon, Ariel. Deterministic Extraction from Weak Random Sources. Springer, 2012.

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Deterministic Extraction From Weak Random Sources. Springer, 2010.

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Book chapters on the topic "Weakly nonlinear analysi"

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Beffa, Federico. "Weakly Nonlinear Time Invariant Systems." In Weakly Nonlinear Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40681-2_9.

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AbstractAs outlined in Chap. 1, the behavior of nonlinear systems is substantially richer than the one of linear systems. To deal with them there is a set of techniques, each one best suited to analyse particular aspects or particular classes of nonlinear systems. We target systems that are stable about an equilibrium point and that depend continuously on the input signal.
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Beffa, Federico. "Periodically Switched Circuits." In Weakly Nonlinear Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40681-2_14.

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AbstractThis chapter is devoted to illustrating applications of the theory of weakly nonlinear time-varying systems with practical examples. After introducing the class of electrical networks called switched circuits, we analyse in details some instantiations. We analyse a practical implementation of a quadrature modulator, including its distortion and other aspects of fundamental importance in applications. As another example of the usefulness of time-varying circuits, we illustrate how they allow implementing highly selective filters that are otherwise unfeasible in small integrated form.
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Beffa, Federico. "Weakly Nonlinear Time Invariant Circuits." In Weakly Nonlinear Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40681-2_11.

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AbstractThe aim of this chapter is to show the utility of the theory that we developed. This is done by applying it to the analysis of nonlinear effects, that is of deviation from linear behaviour, in analog circuits. The vast majority of analog circuits are limited by noise on the bottom end of their dynamic range and by nonlinear effects on the upper end.
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Beffa, Federico. "Fourier Transform of Distributions." In Weakly Nonlinear Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40681-2_4.

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AbstractThe Fourier transform is a major tool in the analysis of signals and systems. We will see that its extension to distributions will make the derivation of many results simpler and more direct than when working with functions.
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Beffa, Federico. "Distributions." In Weakly Nonlinear Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40681-2_2.

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AbstractWe investigate the mathematical description of signals that are commonly used in the analysis of technical problems. From a mathematical point of view it would be useful to limit the signals of interest to the set of continuous functions. However, this has several disadvantages. For example, suppose we are interested in the transient response of, say, a series RC low-pass-filter (LPF) to an input step voltage.
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Hunter, John K. "Interacting Weakly Nonlinear Hyperbolic and Dispersive Waves." In Microlocal Analysis and Nonlinear Waves. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4613-9136-4_7.

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Giaquinta, M., G. Modica, and J. Souček. "Some Regularity Properties of Locally Weakly Invertible Maps." In Nonlinear Analysis and Continuum Mechanics. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-2196-8_5.

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Slimani, N., A. Makhoute, and M. Tlidi. "Weakly Nonlinear Analysis and Localized Structures in Nonlinear Cavities with Metamaterials." In Springer Proceedings in Physics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24871-4_11.

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Ha, Chung-Wei. "Weak Compactness and the Minimax Equality." In Nonlinear and Convex Analysis. CRC Press, 2023. http://dx.doi.org/10.1201/9781003420040-7.

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Wolf, Joerg. "Hölder Continuity of Weak Solutions to Certain Nonlinear Parabolic Systems in Two Space Dimensions." In Applied Nonlinear Analysis. Springer US, 2002. http://dx.doi.org/10.1007/0-306-47096-9_36.

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Conference papers on the topic "Weakly nonlinear analysi"

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Chegaar, Mouna. "Mathematical Analysis of Contact Problems in Nonlinear Electro-Viscoelastic Materials with Damage and Electric Interactions." In 10th International Scientific Conference on Advances in Mechanical Engineering. Trans Tech Publications Ltd, 2025. https://doi.org/10.4028/p-il89dn.

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This paper investigates a problem involving an electro-viscoelastic body with contact damage and friction, modeled through a sub differential condition. By establishing key assumptions on the data, we derive a variational formulation that captures the coupled electrical and mechanical fields, along with damage evolution. The main result demonstrates the existence and uniqueness of a weak solution using a fixed-point approach and a solvability theorem for first-order evolution equations. This work provides a foundational analytical framework for studying contact problems in viscoelastic materia
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Lee, Jung Lyul, and Chan Sung Park. "A Weakly Nonlinear Wave Model of Practical Use." In Fourth International Symposium on Ocean Wave Measurement and Analysis. American Society of Civil Engineers, 2002. http://dx.doi.org/10.1061/40604(273)91.

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Hermann, J. A. "Analysis of The Thick Medium Z-Scan." In Nonlinear Optics. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.tud17.

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An analytic solution of the propagation equation for a symmetrical optical beam has been obtained, in the situation where the beam is focused within an optically nonlinear medium having a thickness greater than the depth of focus. Previous related work by the author has concentrated upon finding solutions, in continued-fraction format, within the strongly self-focusing/defocusing limit [1]. In the present work, an expression is derived for the transmitted electric field envelope in the weakly nonlinear case. The result is described in terms of a linear superposition of Gaussian-Laguerre modes,
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Balachandran, Balakumar, and Khalil A. Khan. "Spectral Analyses of Nonlinear Interactions." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0304.

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Abstract Signals pertaining to motions of nonlinearly coupled oscillators are studied using higher-order spectral analyses. The analyses is used to understand the role of phase coupling in nonlinear interactions between two or more Fourier components. For certain motions of weakly nonlinear systems, analytical approximations are obtained for relevant higher-order spectra and coherence functions. Numerical studies are conducted to verify analytical predictions and to illustrate the usefulness of spectral analyses for different cases.
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Jakobsen, P. K., S. G. Wenden, J. V. Moloney, and A. C. Newell. "Optical turbulence in wide gain section lasers: An analogy with large aspect ratio fluids." In Nonlinear Optics. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.tuc4.

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The close synergism between experiment and theory for Rayleigh-Benard fluid convection has led to the development of sophisticated theoretical models which accurately predict the onset of widely diverse pattern forming turbulent convection. Close to threshold a multiple scales weakly nonlinear analysis yields a universal class of amplitude equations which accurately predict the formation of roll, hexagon, defect patterns and various instabilities of the underlying roll solutions. An elegant study by Busse of the nonlinear regime established that turbulent patterns and stable rolls could coexis
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Gutschmidt, Stefanie, and Oded Gottlieb. "Internal Resonances in Microbeam Arrays Subject to Electrodynamical Parametric Excitation." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35017.

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The dynamic response of parametrically excited microbeam arrays is governed by nonlinear effects which directly influence their performance. To date, documented theoretical models consist of lumped-mass systems which do not resolve the spatio-temporal interaction of the individual elements and reproduce measured array response only qualitatively. A consistent nonlinear continuum model is derived using the extended Hamilton’s principle to capture the salient dynamic features of an array of N nonlinearly coupled microbeams. The nonlinear dynamic equations of motion are solved analytically using
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Diogo, Teresa, Pedro Lima, Magda Rebelo, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3497874.

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Slimani, N., A. Makhoute, and M. Tlidi. "Weakly nonlinear analysis and localised structures in nonlinear cavities with metamaterials." In SPIE Photonics Europe, edited by Krassimir Panajotov, Marc Sciamanna, Angel Valle, and Rainer Michalzik. SPIE, 2016. http://dx.doi.org/10.1117/12.2229874.

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Hattori, Y., Y. Fukumoto, and K. Fujimura. "Instability of an elliptical flow: weakly nonlinear analysis." In FLUID STRUCTURE INTERACTION/MOVING BOUNDARIES 2007. WIT Press, 2007. http://dx.doi.org/10.2495/fsi070181.

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Fitch, J., A. Norman, and M. A. Moore. "Alkahest III: automatic analysis of periodic weakly nonlinear ODEs." In the fifth ACM symposium. ACM Press, 1986. http://dx.doi.org/10.1145/32439.32446.

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Reports on the topic "Weakly nonlinear analysi"

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Muhlestein, Michael, and Carl Hart. Numerical analysis of weak acoustic shocks in aperiodic array of rigid scatterers. Engineer Research and Development Center (U.S.), 2020. http://dx.doi.org/10.21079/11681/38579.

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Nonlinear propagation of shock waves through periodic structures have the potential to exhibit interesting phenomena. Frequency content of the shock that lies within a bandgap of the periodic structure is strongly attenuated, but nonlinear frequency-frequency interactions pumps energy back into those bands. To investigate the relative importance of these propagation phenomena, numerical experiments using the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation are carried out. Two-dimensional propagation through a periodic array of rectangular waveguides is per-formed by iteratively using the output
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SEISMIC PERFORMANCE OF SPATIAL STEEL BEAM-COLUMN CONNECTIONS. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.125.

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This paper presents a finite element analysis for spatial beam-column connections in steel frame to better understand the structural behavior of spatial connections. After the simulation and validation of experimental results, a total of 7 refined 3D models, including beam-to-column connections at different positions in the steel frame, were created and analyzed cyclically through the nonlinear finite element program ABAQUS to investigate the spatial coupling effect. The momentrotation relationships and TI index distribution across the width of beam flanges, were discussed in detail to elucida
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