Travelling waves in a convection-diffusion equation

被引：3

作者：

Feireisl, Eduard ^{[1
]}

Petzeltova, Hana ^{[1
]}

Takac, Peter ^{[2
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CZ-11567 Prague 1, Czech Republic

[2] Univ Rostock, Inst Math, D-18051 Rostock, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 03期

关键词：

DEGENERATE PARABOLIC EQUATIONS; ELLIPTIC-EQUATIONS; L-1; STABILITY; REGULARITY; BOUNDARY; SYSTEMS;

D O I：

10.1016/j.jde.2011.07.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study existence and stability of travelling waves for nonlinear convection-diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in L(1)(R). (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2296 / 2310

页数：15

共 50 条

[1] Classical implicit travelling wave solutions for a quasilinear convection-diffusion equation
Hearns, Jessica
Van Gorder, Robert A.
[J]. NEW ASTRONOMY, 2012, 17 (08) : 705 - 710
[2] ON A NONLINEAR CONVECTION-DIFFUSION EQUATION
PASCAL, H
[J]. PHYSICA A, 1993, 192 (04): : 562 - 568
[3] A nonlocal convection-diffusion equation
Ignat, Liviu I.
Rossi, Julio D.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 251 (02) : 399 - 437
[4] Lagrangian for the convection-diffusion equation
Cresson, Jacky
Greff, Isabelle
Inizan, Pierre
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (15) : 1885 - 1895
[5] DISCRETIZATION OF A CONVECTION-DIFFUSION EQUATION
MORTON, KW
SOBEY, IJ
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1993, 13 (01) : 141 - 160
[6] PARABOLIC APPROXIMATIONS OF THE CONVECTION-DIFFUSION EQUATION
LOHEAC, JP
NATAF, F
SCHATZMAN, M
[J]. MATHEMATICS OF COMPUTATION, 1993, 60 (202) : 515 - 530
[7] A contact problem for a convection-diffusion equation
Pomeranz, S
Lewis, G
Constanda, C
[J]. INTEGRAL METHODS IN SCIENCE AND ENGINEERING: THEORETICAL AND PRACTICAL ASPECTS, 2006, : 235 - +
[8] Interior blowup in a convection-diffusion equation
Grant, CP
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (06) : 1447 - 1458
[9] STOCHASTIC HOMOGENIZATION OF A CONVECTION-DIFFUSION EQUATION
Bessaih, Hakima
Efendiev, Yalchin
Maris, Razvan Florian
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (03) : 2718 - 2745
[10] PARTICLE METHOD FOR A CONVECTION-DIFFUSION EQUATION
MASGALLIC, S
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (10): : 431 - 434

← 1 2 3 4 5 →