Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:182

Article

Wang, S

关键词: doubly nonlinear degenerate parabolic systems;    nonlinear boundary conditions;    non-Newtonian flow;    global solution;    blow up in finite time;   

DOI  :  10.1006/jdeq.2001.4101

来源: Elsevier

【 摘 要 】

In this paper, we study the global existence and the global nonexistence of doubly nonlinear degenerate parabolic systems with nonlinear boundary conditions. We first prove a local existence result by the regularization method. Next, we construct a weak comparison principle. Then we discuss the large time behavior of solutions by using a modified tipper and lower solution methods and constructing various upper and lower solutions. Necessary and sufficient conditions oil the global existence of all positive (weak) solutions are obtained. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free