Log in

Relevant bibliographies by topics / Isotropic diffusion / Journal articles

To see the other types of publications on this topic, follow the link: Isotropic diffusion.

Journal articles on the topic 'Isotropic diffusion'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Isotropic diffusion.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Wong, Eric C., Robert W. Cox, and Allen W. Song. "Optimized isotropic diffusion weighting." Magnetic Resonance in Medicine 34, no. 2 (1995): 139–43. http://dx.doi.org/10.1002/mrm.1910340202.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Klemp, Joseph B. "Damping Characteristics of Horizontal Laplacian Diffusion Filters." Monthly Weather Review 145, no. 11 (2017): 4365–79. http://dx.doi.org/10.1175/mwr-d-17-0015.1.

Full text

Abstract:

Horizontally diffusive computational damping terms are frequently employed in 3D atmospheric simulation models to enhance stability and to suppress small-scale noise. In configuring these filters, it is desirable that damping effects are concentrated on the smaller-scale disturbances close to the grid scale and that the dissipation is spatially isotropic. On Cartesian meshes, the isotropy of the damping can vary greatly depending on the numerical formulation of the horizontal filter. The most isotropic behavior appears to result from recursive application of a 2D Laplacian that combines both a

APA, Harvard, Vancouver, ISO, and other styles

3

Kumar, Rajneesh, and Vandana Gupta. "Plane wave propagation in an anisotropic dual-phase-lag thermoelastic diffusion medium." Multidiscipline Modeling in Materials and Structures 10, no. 4 (2014): 562–92. http://dx.doi.org/10.1108/mmms-01-2014-0004.

Full text

Abstract:

Purpose – The purpose of this paper is to depict the effect of thermal and diffusion phase-lags on plane waves propagating in thermoelastic diffusion medium with different material symmetry. A generalized form of mass diffusion equation is introduced instead of classical Fick's diffusion theory by using two diffusion phase-lags, one phase-lag of diffusing mass flux vector, represents the delayed time required for the diffusion of the mass flux and the other phase-lag of chemical potential, represents the delayed time required for the establishment of the potential gradient. The basic equations

APA, Harvard, Vancouver, ISO, and other styles

4

Liu, Cui Yin, Chun Yu Zhang, Hong Zhao Yuan, and Xi Long Qu. "The Comparison of Isotropic and Anisotropic Diffusion Techniques for Image Denoising." Applied Mechanics and Materials 34-35 (October 2010): 557–61. http://dx.doi.org/10.4028/www.scientific.net/amm.34-35.557.

Full text

Abstract:

The non-linear diffusion techniques were proposed for overcome the linear diffusion defaults. The linear diffusion was a homogeneous diffusivity with a constant conductivity. In this diffusion process, the noise and the edges were smoothed in the image. In order to prevent the edge from being smoothed during the denoising, the nonlinear diffusion was proposed by Pereona and Malik. In this method, noise was smoothed Simultaneously with the edges blurred. In diffusion processes, the conductivity is dependent on the image local information. We analyzed the ineffectiveness of isotropic and extende

APA, Harvard, Vancouver, ISO, and other styles

5

Aardema, T. G., R. M. S. Knops, S. P. L. Nijsten, K. A. H. van Leeuwen, J. P. J. Driessen, and H. C. W. Beijerinck. "Transverse Diffusion in Isotropic Light Slowing." Physical Review Letters 76, no. 5 (1996): 748–51. http://dx.doi.org/10.1103/physrevlett.76.748.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Kumar, Rajneesh, and Vijay Chawla. "Three-dimensional fundamental solution in transversely isotropic thermoelastic diffusion material." Theoretical and Applied Mechanics 39, no. 2 (2012): 165–84. http://dx.doi.org/10.2298/tam1202163k.

Full text

Abstract:

The aim of the present investigation is to study the fundamental solution for three dimensional problem in transversely isotropic thermoelastic diffusion medium. After applying the dimensionless quantities, two displacement functions are introduced to simplify the basic threedimensional equations of thermoelastic diffusion with transverse isotropy for the steady state problem. Using the operator theory, we have derived the general expression for components of displacement, mass concentration, temperature distribution and stress components. On the basis of general solution, three dimensional fu

APA, Harvard, Vancouver, ISO, and other styles

7

Martinez, Hernan L., Juan M. R. Parrondo, and Katja Lindenberg. "Diffusion on deterministic and quasirandom models of diffusion-limited aggregates. I. Isotropic diffusion." Physical Review E 48, no. 5 (1993): 3545–55. http://dx.doi.org/10.1103/physreve.48.3545.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Dai, F., and K. R. Rajagopal. "Diffusion of fluids through transversely isotropic solids." Acta Mechanica 82, no. 1-2 (1990): 61–98. http://dx.doi.org/10.1007/bf01173740.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

ZENG, QIUHUA, and HOUQIANG LI. "DIFFUSION EQUATION FOR DISORDERED FRACTAL MEDIA." Fractals 08, no. 01 (2000): 117–21. http://dx.doi.org/10.1142/s0218348x00000123.

Full text

Abstract:

The movement of the fractal Brownian particle in isotropic and homogeneous two-dimensional assembling fractal spaces is studied by the standard diffusion equation on fractals, and we find that particle movement belongs to the anomalous diffusion. At the same time, by discussing the defectiveness of earlier proposed equations, a general form of analytic fractional diffusion equation is proposed for description of probability density of particles diffusing on fractal geometry at fractal time, and the solution connects with the ordinary solutions in the normal space time limit.

APA, Harvard, Vancouver, ISO, and other styles

10

,, Iryanto, Friska Fristella, and Putu Harry Gunawan. "Pendekatan Numerik pada model Isotropic dan Anisotropic diffusion dalam Pengolahan Citra." Indonesian Journal on Computing (Indo-JC) 1, no. 2 (2016): 83. http://dx.doi.org/10.21108/indojc.2016.1.2.102.

Full text

Abstract:

<p>Tujuan dari penulisan ini adalah untuk mempelajari model anisotropic diffusion dan persamaan panas isotropic diffusion pada pengolahan citra. Model anisotropic diffusion disebut sebagai persamaan Perona-Malik yang memiliki berbagai fungsi fluks dalam persamaannya. Untuk menghampiri solusi persamaan anisotropic dan isotropic diffusion secara numerik, metode beda hingga digunakan dalam mendiskritkan domain spasial dan waktu dari model yang digunakan. Hasil numerik menggunakan model anisotropic diffusion menghasilkan gambar yang lebih tajam dibandingkan menggunakan model persamaan panas,

APA, Harvard, Vancouver, ISO, and other styles

11

Rypdal, K. "Acceleration and heating in quasi-linear diffusion." Journal of Plasma Physics 35, no. 3 (1986): 413–29. http://dx.doi.org/10.1017/s0022377800011430.

Full text

Abstract:

Quasi-linear diffusion of charged particles due to a stationary and homogeneous spectrum of electrostatic field fluctuations is investigated via a Fokker-Planck approach. The energy of a given distribution of test particles is found to be conserved whenever the wave spectrum is isotropic and none of the spectral components of the field has a phase speed that equals the speed of any test particle. Quite generally, the energy is monotonically increasing for isotropic spectra. An interesting quantum mechanical interpretation of these results is given, and the special case of beam evolution in an

APA, Harvard, Vancouver, ISO, and other styles

12

Kumar, R., and T. Kansal. "Rayleigh waves in transversely isotropic thermoelastic diffusive half-space." Canadian Journal of Physics 86, no. 9 (2008): 1133–43. http://dx.doi.org/10.1139/p08-055.

Full text

Abstract:

The present investigation is devoted to the study of the propagation of Rayleigh waves in a homogeneous, transversely isotropic, thermoelastic diffusive half-space subjected to stress-free, thermally insulated and (or) isothermal, and chemical potential boundary conditions, in the context of the theory of coupled thermoelastic diffusion. Secular equations for surface-wave propagation in the media being considered are derived. The surface-particle paths during the motion are found to be elliptical, but degenerate into straight lines in case where there is no phase difference between the horizon

APA, Harvard, Vancouver, ISO, and other styles

13

Browne, L. W. B., R. A. Antonia, and D. A. Shah. "Turbulent energy dissipation in a wake." Journal of Fluid Mechanics 179 (June 1987): 307–26. http://dx.doi.org/10.1017/s002211208700154x.

Full text

Abstract:

The average turbulent energy dissipation is often estimated by assuming isotropy and measuring the temporal derivative of the longitudinal velocity fluctuation. In this paper, the nine major terms that make up the total dissipation have been measured in the self-preserving region of a cylinder wake for a small turbulence Reynolds number. The results indicate that local isotropy is not satisfied; the isotropic dissipation, computed by assuming isotropic relations, being smaller than the total dissipation by about 45% on the wake centreline and by about 80% near the wake edge. Indirect verificat

APA, Harvard, Vancouver, ISO, and other styles

14

Vellmer, Sebastian, Rüdiger Stirnberg, Daniel Edelhoff, Dieter Suter, Tony Stöcker, and Ivan I. Maximov. "Comparative analysis of isotropic diffusion weighted imaging sequences." Journal of Magnetic Resonance 275 (February 2017): 137–47. http://dx.doi.org/10.1016/j.jmr.2016.12.011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Yeung, P. K., and S. B. Pope. "Differential diffusion of passive scalars in isotropic turbulence." Physics of Fluids A: Fluid Dynamics 5, no. 10 (1993): 2467–78. http://dx.doi.org/10.1063/1.858760.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Wang, Xiao-Hong, and Ke-Lin Wang. "Analysis of Relative Diffusion in Homogeneous Isotropic Turbulence." Communications in Theoretical Physics 24, no. 3 (1995): 381–83. http://dx.doi.org/10.1088/0253-6102/24/3/381.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Subedi, P., W. Sonsrettee, P. Blasi, et al. "Charged Particle Diffusion in Isotropic Random Magnetic Fields." Astrophysical Journal 837, no. 2 (2017): 140. http://dx.doi.org/10.3847/1538-4357/aa603a.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Bu, Zimei, Paul S. Russo, Debbie L. Tipton, and Ioan I. Negulescu. "Self-Diffusion of Rodlike Polymers in Isotropic Solutions." Macromolecules 27, no. 23 (1994): 6871–82. http://dx.doi.org/10.1021/ma00101a027.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Kumar, Rajneesh, and Vandana Gupta. "Green's Function for Transversely Isotropic Thermoelastic Diffusion Bimaterials." Journal of Thermal Stresses 37, no. 10 (2014): 1201–29. http://dx.doi.org/10.1080/01495739.2014.936248.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Meister, M., F. G. Mertens, and A. Sánchez. "Soliton diffusion on the classical, isotropic Heisenberg chain." European Physical Journal B 20, no. 3 (2001): 405–17. http://dx.doi.org/10.1007/s100510170259.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Star, W. M., and J. P. A. Marijnissen. "Diffusion theory of isotropic light dosimetry probe response." Lasers in Medical Science 4, S1 (1989): 341–50. http://dx.doi.org/10.1007/bf02276700.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Majda, Andrew J. "Random shearing direction models for isotropic turbulent diffusion." Journal of Statistical Physics 75, no. 5-6 (1994): 1153–65. http://dx.doi.org/10.1007/bf02186761.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

ANDICA, CHRISTINA, ASAMI SAITO, SYO MURATA, et al. "Diffusion Magnetic Resonance Imaging: From Isotropic Diffusion-Weighted Imaging to Diffusion Tensor Imaging and Beyond." Juntendo Medical Journal 63, no. 4 (2017): 285–92. http://dx.doi.org/10.14789/jmj.63.285.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Chawla, Vijay, and Deepmala Kamboj. "A General Study of Fundamental Solutions in Aniotropicthermoelastic Media with Mass Diffusion and Voids." International Journal of Applied Mechanics and Engineering 25, no. 4 (2020): 22–41. http://dx.doi.org/10.2478/ijame-2020-0047.

Full text

Abstract:

AbstractThe present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, st

APA, Harvard, Vancouver, ISO, and other styles

25

Zhou, Min. "Research on Adaptive Image Inpainting Approach Based on TV Model." Applied Mechanics and Materials 416-417 (September 2013): 1262–66. http://dx.doi.org/10.4028/www.scientific.net/amm.416-417.1262.

Full text

Abstract:

For The fix algorithm of TV model caused the staircase effect, iterations low efficiency and produce false edge drawback when gradient only along the perpendicular direction to diffusion. The paper propose an improved K and P parameters based image restoration algorithm. The combination of isotropic and anisotropic diffusion model, used in a smaller area of the pixel gradient isotropic diffusion, that will improve the speed of iteration, and a larger region in the pixel gradient value take the P-Laplace operator to anisotropic diffusion to avoid the staircase effect in the the image flat areas

APA, Harvard, Vancouver, ISO, and other styles

26

Kumar, Rajneesh, and Tarun Kansal. "Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium." Advances in Applied Mathematics and Mechanics 3, no. 2 (2011): 219–38. http://dx.doi.org/10.4208/aamm.10-m1016.

Full text

Abstract:

AbstractThis paper concentrates on the wave motion at the interface of viscous compressible fluid half-space and homogeneous isotropic, generalized thermoelastic diffusive half-space. The wave solutions in both the fluid and thermoelastic diffusive half-spaces have been investigated; and the complex dispersion equation of leaky Rayleigh wave motion have been derived. The phase velocity and attenuation coefficient of leaky Rayleigh waves have been computed from the complex dispersion equation by using the Muller’s method. The amplitudes of displacements, temperature change and concentration hav

APA, Harvard, Vancouver, ISO, and other styles

27

Srinivasalu Gupta, J., and D. V. Khakhar. "Brownian dynamics simulation of diffusion-limited polymerization of rodlike molecules: Isotropic translational diffusion." Journal of Chemical Physics 107, no. 8 (1997): 3289–94. http://dx.doi.org/10.1063/1.474679.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Zverev, N. A., A. V. Zemskov, and D. V. Tarlakovskii. "MODELING OF UNSTEADY COUPLED MECHANODIFFUSION PROCESSES IN A CONTINUUM ISOTROPIC CYLINDER." Problems of strenght and plasticity 82, no. 2 (2020): 156–67. http://dx.doi.org/10.32326/1814-9146-2020-82-2-156-167.

Full text

Abstract:

We considered the one-dimensional polar-symmetric problem of stress-strain state determining of a continuum isotropic multicomponent cylinder. The cylinder is affected by unsteady surface elastic diffusive perturbations. The coupled system of elastic diffusion equations in the polar coordinate system is used as a mathematical model. The problem solution is sought in the integral form and is represented as convolutions of Green's functions with functions defining surface elastodiffusive perturbations. Mechanical loads and diffusion fields are considered as external influences. We used the Lapla

APA, Harvard, Vancouver, ISO, and other styles

29

Shirani, Afsaneh, Peng Sun, Robert E. Schmidt, et al. "Histopathological correlation of diffusion basis spectrum imaging metrics of a biopsy-proven inflammatory demyelinating brain lesion: A brief report." Multiple Sclerosis Journal 25, no. 14 (2018): 1937–41. http://dx.doi.org/10.1177/1352458518786072.

Full text

Abstract:

Diffusion basis spectrum imaging (DBSI) models diffusion-weighted magnetic resonance imaging (MRI) signals as a combination of discrete anisotropic diffusion tensors and a spectrum of isotropic diffusion tensors. Here, we report the histopathological correlates of DBSI in the biopsied brain tissue of a patient with an inflammatory demyelinating lesion typical of multiple sclerosis (MS). Increased radial diffusivity (marker of demyelination), decreased fiber fraction (apparent axonal density), elevated nonrestricted isotropic fraction (marker of vasogenic edema), but unchanged axial diffusivity

APA, Harvard, Vancouver, ISO, and other styles

30

Sun, Peng, Ajit George, Dana C. Perantie, et al. "Diffusion basis spectrum imaging provides insights into MS pathology." Neurology - Neuroimmunology Neuroinflammation 7, no. 2 (2019): e655. http://dx.doi.org/10.1212/nxi.0000000000000655.

Full text

Abstract:

ObjectiveTo use diffusion basis spectrum imaging (DBSI) to assess how damage to normal-appearing white matter (NAWM) in the corpus callosum (CC) influences neurologic impairment in people with MS (pwMS).MethodsUsing standard MRI, the primary pathologies in MS of axonal injury/loss, demyelination, and inflammation are not differentiated well. DBSI has been shown in animal models, phantoms, and in biopsied and autopsied human CNS tissues to distinguish these pathologies. Fifty-five pwMS (22 relapsing-remitting, 17 primary progressive, and 16 secondary progressive) and 13 healthy subjects underwe

APA, Harvard, Vancouver, ISO, and other styles

31

Sbalzarini, Ivo F., Arnold Hayer, Ari Helenius, and Petros Koumoutsakos. "Simulations of (An)Isotropic Diffusion on Curved Biological Surfaces." Biophysical Journal 90, no. 3 (2006): 878–85. http://dx.doi.org/10.1529/biophysj.105.073809.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

SATO, K., and H. NAGASHIMA. "Quantitative evaluation of nonlinear diffusion for isotropic random flow." Physica A: Statistical Mechanics and its Applications 345, no. 1-2 (2005): 17–34. http://dx.doi.org/10.1016/s0378-4371(04)01000-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Gayley, Kenneth G., and Stanley P. Owocki. "The non-isotropic diffusion approximation in Wolf-Rayet winds." Symposium - International Astronomical Union 163 (1995): 158–59. http://dx.doi.org/10.1017/s0074180900201848.

Full text

Abstract:

We derive the dynamics of a steady-state Wolf-Rayet wind using a non-isotropic diffusion approximation applied to the transfer between strongly overlapping spectral lines. Following the approach of Friend and Castor (1983), the line list is assumed to approximate a statistically parametrized Poisson distribution in frequency, so that photon transport is controlled by an angle-dependent, effectively gray opacity. We find that multiple radiative momentum deposition is greatest when photons undergo a nearly local diffusion, e.g. through scattering between many lines closely spaced in frequency. O

APA, Harvard, Vancouver, ISO, and other styles

34

Liebendörfer, M., S. C. Whitehouse, and T. Fischer. "THE ISOTROPIC DIFFUSION SOURCE APPROXIMATION FOR SUPERNOVA NEUTRINO TRANSPORT." Astrophysical Journal 698, no. 2 (2009): 1174–90. http://dx.doi.org/10.1088/0004-637x/698/2/1174.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Girimaji, Sharath S. "On the modeling of scalar diffusion in isotropic turbulence." Physics of Fluids A: Fluid Dynamics 4, no. 11 (1992): 2529–37. http://dx.doi.org/10.1063/1.858440.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Oussous, Mohammed Ait, and NourEddine Alaa. "Triangular isotropic reaction-diffusion systems: application to texture synthesis." International Journal of Mathematical Analysis 7 (2013): 1829–42. http://dx.doi.org/10.12988/ijma.2013.35106.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Garrett-Roe, Sean. "Reorientation-induced spectral diffusion of non-isotropic orientation distributions." Journal of Chemical Physics 147, no. 14 (2017): 144504. http://dx.doi.org/10.1063/1.4993864.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Bogoyavlenskiy, Vladislav A. "How to grow isotropic on-lattice diffusion-limited aggregates." Journal of Physics A: Mathematical and General 35, no. 11 (2002): 2533–38. http://dx.doi.org/10.1088/0305-4470/35/11/301.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

ABDEL KAREEM, WALEED, TAMER NABIL, SEIICHERIO IZAWA, and YU FUKUNISHI. "MULTIRESOLUTION AND NONLINEAR DIFFUSION FILTERING OF HOMOGENEOUS ISOTROPIC TURBULENCE." International Journal of Computational Methods 11, no. 01 (2013): 1350054. http://dx.doi.org/10.1142/s0219876213500540.

Full text

Abstract:

The multiresolution (Gabor and wavelet transforms) and nonlinear diffusion filtering (NDF) methods are investigated to extract the coherent and incoherent parts of a forced homogeneous isotropic turbulent field. The aim of this paper is to apply two different analyses to decompose the turbulent field into organized coherent and random incoherent parts. The first analysis filtering process (Gabor and wavelet transforms) is based on the frequency domain; however the second NDF filtering analysis is implemented in the spatial domain. The turbulent field is generated using the Lattice Boltzmann me

APA, Harvard, Vancouver, ISO, and other styles

40

L�vblad, K. O., J. Schneider, K. Ruoss, M. Steinlin, C. Fusch, and G. Schroth. "Isotropic apparent diffusion coefficient mapping of postnatal cerebral development." Neuroradiology 45, no. 6 (2003): 400–403. http://dx.doi.org/10.1007/s00234-003-1009-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Hegger, Rainer, and Peter Grassberger. "Is Diffusion Limited Aggregation Locally Isotropic or Self-Affine?" Physical Review Letters 73, no. 12 (1994): 1672–74. http://dx.doi.org/10.1103/physrevlett.73.1672.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Cai, Wei, Wen Chen, and Fajie Wang. "Three-dimensional Hausdorff derivative diffusion model for isotropic/anisotropic fractal porous media." Thermal Science 22, Suppl. 1 (2018): 1–6. http://dx.doi.org/10.2298/tsci170630265c.

Full text

Abstract:

The anomalous diffusion in fractal isotropic/anisotropic porous media is characterized by the Hausdorff derivative diffusion model with the varying fractal orders representing the fractal structures in different directions. This paper presents a comprehensive understanding of the Hausdorff derivative diffusion model on the basis of the physical interpretation, the Hausdorff fractal distance and the fundamental solution. The concept of the Hausdorff fractal distance is introduced, which converges to the classical Euclidean distance with the varying orders tending to 1. The fundamental solution

APA, Harvard, Vancouver, ISO, and other styles

43

GITTELSON, C. J. "STOCHASTIC GALERKIN DISCRETIZATION OF THE LOG-NORMAL ISOTROPIC DIFFUSION PROBLEM." Mathematical Models and Methods in Applied Sciences 20, no. 02 (2010): 237–63. http://dx.doi.org/10.1142/s0218202510004210.

Full text

Abstract:

The stochastic Galerkin method is developed for the isotropic diffusion equation with an unbounded random diffusion coefficient. The logarithm of the diffusion coefficient is assumed to be an infinite series of Gaussian random variables. Well-posed weak formulations of the model problem are derived on standard Bochner–Lebesgue spaces. The Galerkin solution is shown to be almost quasi-optimal in the sense that the error of the Galerkin projection can be estimated by a best approximation error in a slightly stronger norm. As a result, convergence analysis of the stochastic Galerkin method is red

APA, Harvard, Vancouver, ISO, and other styles

44

Stanley, P., and Y. J. Yip. "A study of the diffusion analogy technique for the photoelastic determination of transient thermal stresses." Journal of Strain Analysis for Engineering Design 23, no. 1 (1988): 33–45. http://dx.doi.org/10.1243/03093247v231033.

Full text

Abstract:

The formal similarity between the equation governing the diffusion of a substance through a “porous” isotropic material and the heat conduction equation for the temperature distribution in an isotropic homogeneous solid is examined, and its use as a basis for the photoelastic study of transient thermal stresses is explored.

APA, Harvard, Vancouver, ISO, and other styles

45

Holloway, C. R., G. Cupples, D. J. Smith, J. E. F. Green, R. J. Clarke, and R. J. Dyson. "Influences of transversely isotropic rheology and translational diffusion on the stability of active suspensions." Royal Society Open Science 5, no. 8 (2018): 180456. http://dx.doi.org/10.1098/rsos.180456.

Full text

Abstract:

Suspensions of self-motile, elongated particles are a topic of significant current interest, exemplifying a form of ‘active matter’. Examples include self-propelling bacteria, algae and sperm, and artificial swimmers. Ericksen's model of a transversely isotropic fluid (Ericksen 1960 Colloid Polym. Sci. 173 , 117–122 ( doi:10.1007/bf01502416 )) treats suspensions of non-motile particles as a continuum with an evolving preferred direction; this model describes fibrous materials as diverse as extracellular matrix, textile tufts and plant cell walls. Director-dependent effects are incorporated thr

APA, Harvard, Vancouver, ISO, and other styles

46

Gradišek, Anton, Mario Cifelli, Michal Wojcik, et al. "Study of Liquid Crystals Showing Two Isotropic Phases by 1H NMR Diffusometry and 1H NMR Relaxometry." Crystals 9, no. 3 (2019): 178. http://dx.doi.org/10.3390/cryst9030178.

Full text

Abstract:

In this work, we report a study of two thermotropic liquid crystalline samples showing a not common mesophase behavior. The samples, namely a di-benzyloxy biphenyl derivative labelled 9/2 RS/RS, and a bimesogenic liquid crystal labelled L1, show a direct transition between two isotropic phases followed, at lower temperatures, by the optically isotropic, 3D structured, cubic phase. These systems have been investigated by means of 1H NMR diffusometry and 1H NMR relaxometry in order to characterize their isotropic–isotropic’–cubic mesophase behavior, mainly on the dynamic point of view. In partic

APA, Harvard, Vancouver, ISO, and other styles

47

Kumar, Rajneesh, Sanjeev Ahuja, and S. K. Garg. "Rayleigh waves in isotropic microstretch thermoelastic diffusion solid half space." Latin American Journal of Solids and Structures 11, no. 2 (2014): 299–319. http://dx.doi.org/10.1590/s1679-78252014000200009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Kwon, Youngah, and Laura J. Kaufman. "Nearly Isotropic Conjugated Polymer Aggregates with Efficient Local Exciton Diffusion." Journal of Physical Chemistry C 123, no. 48 (2019): 29418–26. http://dx.doi.org/10.1021/acs.jpcc.9b08075.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Kontomaris, K., and T. J. Hanratty. "Effect of molecular diffusivity on turbulent diffusion in isotropic turbulence." International Journal of Heat and Mass Transfer 36, no. 5 (1993): 1403–12. http://dx.doi.org/10.1016/s0017-9310(05)80108-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Matysiak, Stanislaw J., and Radoslaw Mieszkowski. "On some problems of diffusion in an isotropic half-space." International Communications in Heat and Mass Transfer 30, no. 5 (2003): 625–32. http://dx.doi.org/10.1016/s0735-1933(03)00100-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!