Campus Units
Mathematics
Document Type
Article
Publication Version
Published Version
Publication Date
1989
Journal or Book Title
SIAM Journal on Mathematical Analysis
Volume
20
Issue
1
First Page
133
Last Page
147
DOI
10.1137/0520010
Abstract
We study the large time behavior of positive solutions of the semilinear parabolic equation $u_t = u_{xx} + \varepsilon (g(u))_x + f(u)$, $0 < x < L$, $\varepsilon \in {\bf R}$, subject to $u(0,t) = u(L,t) = 0$. The model problem in which the results apply is $g(u) = u^m $ and $f(u) = u^p 1 \leqq m < p$. The steady state problem is analyzed in some detail, and results about finite time blow up are proved.
Copyright Owner
Society for Industrial and Applied Mathematics
Copyright Date
1989
Language
en
File Format
application/pdf
Recommended Citation
Levine, Howard A.; Payne, Lawrence E.; Sacks, Paul E.; and Straughan, Brian, "Analysis of a Convective Reaction-Diffusion Equation II" (1989). Mathematics Publications. 48.
https://lib.dr.iastate.edu/math_pubs/48
Comments
This is an article from SIAM Journal on Mathematical Analysis 20 (1989): 327, doi:10.1137/0520010. Posted with permission.