Results 41 to 50 of about 65,900 (146)
Non-extensive diffusion as nonlinear response [PDF]
Europhysics Letters (EPL), 2005 The porous media equation has been proposed as a phenomenological ``non-extensive'' generalization of classical diffusion. Here, we show that a very similar equation can be derived, in a systematic manner, for a classical fluid by assuming nonlinear response, i.e. that the diffusive flux depends on gradients of a power of the concentration. The present
Lutsko, James, Boon, Jean-Pierre
openaire +2 more sources
Undular Diffusion in Nonlinear Sigma Models
Physical Review Letters, 2020 We discuss general features of charge transport in non-relativistic classical field theories invariant under non-abelian unitary Lie groups by examining the full structure of two-point dynamical correlation functions in grand-canonical ensembles at finite charge densities (polarized ensembles).
Krajnik, Žiga +2 more
openaire +5 more sources
Electronic Journal of Differential Equations, 2020 This article concerns a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux describing the coral fertilization.
Lingzhu Wang, Li Xie
doaj
Solutions modeling of nonlinear equation of diffusion for three dimensions case
Lietuvos Matematikos Rinkinys, 2014 We have made a practical consideration of an important case of nonlinear diffusion of impurities in a three-dimensional case through square window in the x, y plane for the production of electronic devices and evaluation of its parameters.
Sigita Turskienė +1 more
doaj +1 more source
Audio Stream Segmentation Based on Nonlinear Diffusion Filtering (Perona–Malik Approach)
IEEE AccessThe segmentation of continuous audio streams into distinct units, such as individual news stories, is a critical step for efficient indexing and retrieval in multimedia applications.
Vasile-Silviu Sarmasanu +3 more
doaj +1 more source
A finite difference scheme for a degenerated diffusion equation arising in microbial ecology
Electronic Journal of Differential Equations, 2007 A finite difference scheme is presented for a density-dependent diffusion equation that arises in the mathematical modelling of bacterial biofilms. The peculiarity of the underlying model is that it shows degeneracy as the dependent variable vanishes ...
Hermann J. Eberl, Laurent Demaret
doaj
Spatially Discrete Nonlinear Diffusion Equations
Rocky Mountain Journal of Mathematics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cahn, John W. +2 more
openaire +3 more sources
Existence of scale invariant solutions to horizontal flow with a Fujita type diffusion coefficient
Electronic Journal of Differential Equations, 2012 In this article, we study a boundary-initial value problem on the half-line for the diffusion equation with a Fujita type diffusion coefficient that carries a parameter $alpha $.
Gastao A. Braga +2 more
doaj
Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation
AppliedMathIn this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo +2 more
doaj +1 more source
Solutions to a nonlinear drift-diffusion model for semiconductors
Electronic Journal of Differential Equations, 1999 A nonlinear drift-diffusion model for semiconductors is analyzed to show the existence of non-vacuum global solutions and stationary solutions. The long time behavior of the solutions is studied by establishing the existence of an absorbing set and a ...
Weifu Fang, Kazufumi Ito
doaj