Global existence and blow-up for a quasilinear degenerate parabolic systemin a cylinder

Authors
Mu, CL Su, Y
Citation
Cl. Mu et Y. Su, Global existence and blow-up for a quasilinear degenerate parabolic systemin a cylinder, APPL MATH L, 14(6), 2001, pp. 715-723
Citations number
9
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
6
Year of publication
2001
Pages
715 - 723
Database
ISI
SICI code
0893-9659(200108)14:6<715:GEABFA>2.0.ZU;2-M
Abstract
This paper deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system u(t) = Deltau(mu) + v(P)e(alphau), v(t) = Deltav(v) + u(q)e(betav) with homogeneous Dirichlet boundary data. T he results depend crucially on the sign of the difference pq - muv and on t he domain Omega. (C) 2001 Elsevier Science Ltd. All rights reserved.