Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations

被引：13

作者：

Henkin, GM

Shananin, AA

机构：

[1] Univ Paris 06, F-75252 Paris, France

[2] Russian Acad Sci, CEMI, Moscow 117418, Russia

[3] Russian Acad Sci, Ctr Comp, Moscow 117967, Russia

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 12期

关键词：

Burgers equation; intermediate asymptotics; training waves; nonlinear diffusions;

D O I：

10.1016/j.matpur.2004.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the solutions of the initial value problems for a large class of Burgers type equations approach with time to the sum of appropriately shifted wave-trains and of diffusion waves. (C) 2004 Elsevier SAS. All rights reserved.

引用

页码：1457 / 1500

页数：44

共 50 条

[1] Asymptotic structure for solutions of the Cauchy problem for Burgers type equations
G. M. Henkin
Journal of Fixed Point Theory and Applications, 2007, 1 : 239 - 291
[2] Asymptotic structure for solutions of the Cauchy problem for Burgers type equations
Henkin, G. M.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 1 (02) : 239 - 291
[3] On solutions to the Cauchy problem for a class of forced Burgers equations
Tiwari, S.
Engu, S.
Sahoo, Manas Ranjan
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2024, 77 (03):
[4] On the Cauchy Problem for Dispersive Burgers-Type Equations
Said, Ayman Rimah
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2023, 72 (04) : 1667 - 1715
[5] On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
Khasminskii, R. Z.
Krylov, N., V
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2023, 11 (01): : 106 - 121
[6] On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
R. Z. Khasminskii
N. V. Krylov
Statistical Inference for Stochastic Processes, 2022, 25 : 3 - 16
[7] On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
Khasminskii, R. Z.
Krylov, N., V
STATISTICAL INFERENCE FOR STOCHASTIC PROCESSES, 2022, 25 (01) : 3 - 16
[8] On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
R. Z. Khasminskii
N. V. Krylov
Stochastics and Partial Differential Equations: Analysis and Computations, 2023, 11 : 106 - 121
[9] On the asymptotic behavior of solutions of a singular cauchy problem
Zernov A.E.
Meleshko T.V.
Ukrainian Mathematical Journal, 2001, 53 (9) : 1433 - 1444
[10] On the asymptotic behavior of solutions to the Cauchy problem for a nonlinear Sobolev-type equation
Kaikina, EI
Naumkin, PI
Shishmarev, IA
DOKLADY MATHEMATICS, 2005, 71 (02) : 269 - 273

← 1 2 3 4 5 →