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
收藏
页码：1457 / 1500
页数：44
相关论文
共 50 条
  • [41] An Identification Problem of Source Function in the Burgers-type Equation
    Belov, Yuri Ya.
    Korshun, Kirill V.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2012, 5 (04): : 497 - 506
  • [42] Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations
    Kaikina, E. I.
    Naumkin, P. I.
    Shishmarev, I. A.
    RUSSIAN MATHEMATICAL SURVEYS, 2009, 64 (03) : 399 - 468
  • [43] A computational procedure for exact solutions of Burgers' hierarchy of nonlinear partial differential equations
    Obaidullah, U.
    Jamal, Sameerah
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 65 (1-2) : 541 - 551
  • [44] A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations
    Georgiev, S. G.
    Mohammadizadeh, F.
    Tehrani, H. A.
    Skandari, M. H. N.
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2019, 32 (02): : 129 - 143
  • [45] Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method
    Badiepour, Azadeh
    Ayati, Zainab
    Ebrahimi, Hamideh
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (03): : 826 - 836
  • [46] A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations
    U. Obaidullah
    Sameerah Jamal
    Journal of Applied Mathematics and Computing, 2021, 65 : 541 - 551
  • [47] Solutions of Burgers, Reynolds, and Navier—Stokes Equations via Stochastic Perturbations of Inviscid Flows
    Yuri E. Gliklikh
    Journal of Nonlinear Mathematical Physics, 2010, 17 : 15 - 29
  • [48] Painleve analysis and some solutions of (2+1)-dimensional generalized burgers equations
    Hong, KZ
    Wu, BI
    Chen, XF
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 39 (04) : 393 - 394
  • [49] On the numerical solution of nonlinear Burgers'-type equations using meshless method of lines
    Haq, Sirajul
    Hussain, Arshad
    Uddin, Marjan
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) : 6280 - 6290
  • [50] A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations
    Bouhamidi, A.
    Hached, M.
    Jbilou, K.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (03) : 238 - 256
12345