Qualitative analysis for the solution of Kuramoto-Sivashinsky equation

Authors
Jiang, CS Gu, HM
Citation
Cs. Jiang et Hm. Gu, Qualitative analysis for the solution of Kuramoto-Sivashinsky equation, APP MATH ME, 20(11), 1999, pp. 1251-1258
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
20
Issue
11
Year of publication
1999
Pages
1251 - 1258
Database
ISI
SICI code
0253-4827(199911)20:11<1251:QAFTSO>2.0.ZU;2-N
Abstract
In this paper, two kinds of initial boundary Value problems for Kuramoto-Si vashinsky equation are considered. Some prior estimates are derived by Gale rkin methods. The existence, uniqueness and regularities of the generalized global solutions and the classical global solutions for the equation are p roved. Moreover, the asymptotic behavior of these solutions are considered under some conditions.