GLOBAL SMOOTH SOLUTIONS TO THE SPATIALLY PERIODIC CAUCHY-PROBLEM FOR DISSIPATIVE NONLINEAR EVOLUTION-EQUATIONS

Authors
HSIAO L JIAN HY
Citation
L. Hsiao et Hy. Jian, GLOBAL SMOOTH SOLUTIONS TO THE SPATIALLY PERIODIC CAUCHY-PROBLEM FOR DISSIPATIVE NONLINEAR EVOLUTION-EQUATIONS, Journal of mathematical analysis and applications, 213(1), 1997, pp. 262-274
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
213
Issue
1
Year of publication
1997
Pages
262 - 274
Database
ISI
SICI code
0022-247X(1997)213:1<262:GSSTTS>2.0.ZU;2-F
Abstract
The existence and uniqueness are proved for global classical solutions of the spatially periodic Cauchy problem to the following system of p arabolic equations [GRAPHICS] which was proposed as a substitute for t he Rayleigh-Benard equation and can lead to Lorenz equations. (C) 1997 Academic Press.