BOUNDEDNESS AND GLOBAL NONEXISTENCE FOR A NONLINEAR CONVECTIVE PARABOLIC-SYSTEM

Authors
AMES KA STRAUGHAN B
Citation
Ka. Ames et B. Straughan, BOUNDEDNESS AND GLOBAL NONEXISTENCE FOR A NONLINEAR CONVECTIVE PARABOLIC-SYSTEM, Journal of mathematical analysis and applications, 190(3), 1995, pp. 795-805
Citations number
28
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
190
Issue
3
Year of publication
1995
Pages
795 - 805
Database
ISI
SICI code
0022-247X(1995)190:3<795:BAGNFA>2.0.ZU;2-O
Abstract
A two-component parabolic system with convective terms is studied. It is shown that if the forces on the right hand side are no worse than q uadratic in the variables then the solution remains bounded for all ti me. It is also proved that if the forces are allowed to grow faster th an quadratic then finite time blow-up is to be expected. (C) 1995 Acad emic Press, Inc.