Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system

Authors
Zhao, HJ Tang, SQ
Citation
Hj. Zhao et Sq. Tang, Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system, J MATH ANAL, 246(2), 2000, pp. 423-445
Citations number
20
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
246
Issue
2
Year of publication
2000
Pages
423 - 445
Database
ISI
SICI code
0022-247X(20000615)246:2<423:NSAODR>2.0.ZU;2-8
Abstract
We study the Cauchy problem for a generalized Kuramoto-Sivashinsky system i n multidimension. The zero equilibrium is linearly stable for coefficients within a certain range. We further establish the global existence, nonlinea r stability, and optimal decay rate of the solution for coefficients within the same range, though with suitable restriction to the initial data. (C) 2000 Academic Press.