Flux diffusion and the porous medium equation

被引：12

作者：

Gilchrist, J ^{[1
]}

机构：

[1] Univ Grenoble 1, CNRS, Ctr Rech Tres Basses Temp, Lab Associe, F-38042 Grenoble, France

来源：

PHYSICA C | 1997年 / 291卷 / 1-2期

关键词：

flux creep; flux flow; AC susceptibility; magnetoresistance;

D O I：

10.1016/S0921-4534(97)01685-7

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Flux-flow problems in slabs and cylinders, and flux-creep problems in slabs, simplified, reduce to the porous medium equation with possible sign changes. The equation's known self-similar solutions apply exactly or asymptotically if the boundary conditions are right. Flux-creep in cylinders corresponds to a modified porous medium equation that has different explicit solutions and different focusing solutions. (C) 1997 Elsevier Science B.V.

引用

页码：132 / 142

页数：11

共 50 条

[1] Flux diffusion and the porous medium equation (vol 291, pg 132, 1997)
Gilchrist, J
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 1998, 295 (3-4): : 330 - 330
[2] Porous medium equation and fast diffusion equation as gradient systems
Littig, Samuel
Voigt, Juergen
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2015, 65 (04) : 869 - 889
[3] Porous medium equation and fast diffusion equation as gradient systems
Samuel Littig
Jürgen Voigt
Czechoslovak Mathematical Journal, 2015, 65 : 869 - 889
[4] ASYMPTOTIC BEHAVIOUR OF A POROUS MEDIUM EQUATION WITH FRACTIONAL DIFFUSION
Caffarelli, Luis A.
Luis Vazquez, Juan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (04) : 1393 - 1404
[5] THE POROUS-MEDIUM EQUATION - THE SUPERSLOW DIFFUSION CASE
FRANCSICS, G
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (03) : 291 - 301
[6] A fractional equation for anomalous diffusion in a randomly heterogeneous porous medium
Logvinova, K
Néel, MC
CHAOS, 2004, 14 (04) : 982 - 987
[7] Regularity in Sobolev spaces for the fast diffusion and the porous medium equation
Ebmeyer, C
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 307 (01) : 134 - 152
[8] EnVarA-FEM for the flux-limited porous medium equation
Liu, Qianqian
Duan, Chenghua
Chen, Wenbin
JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 493
[9] The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
Zhan, Huashui
OPEN MATHEMATICS, 2017, 15 : 895 - 906
[10] Blow-Up Phenomena for Porous Medium Equation with Nonlinear Flux on the Boundary
Hu, Yan
Li, Jing
Wang, Liangwei
JOURNAL OF APPLIED MATHEMATICS, 2013,

← 1 2 3 4 5 →