Korteweg-de Vries-Burgers system in RN

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:411

Article

Dlotko, Tomasz¹  Kania, Maria B.¹  Ma, Shan² 

[1] Silesian Univ, Inst Math, PL-40007 Katowice 14, Bankowa, Poland

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

关键词: N-D KdV-Burgers system;    Parabolic approximations;    Asymptotic behavior of solutions;    Global attractor;    Upper semicontinuity;   

DOI  :  10.1016/j.jmaa.2013.10.007

来源: Elsevier

【 摘 要 】

We study Cauchy problem in R-N for the Korteweg-de Vries-Burgers system. Parabolic regularization technique is used to prove its global in time solvability. The regularization effect of the Laplacian term is observed for the viscous solutions constructed in the paper. Asymptotic behavior of weak solutions is discussed next in the language of the global attractors. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free