Name
Title | ||
|---|---|---|
Blow-up properties for a degenerate parabolic system with nonlinear localized sources |
Abstract | ||
|---|---|---|
In this paper, we investigate the initial-boundary problem of a degenerate parabolic system with nonlinear localized sources. We classify the blow-up solutions into global blow-up cases and single-point blow-up cases according to the values of m,n,p"i,q"i. Furthermore, we obtain the uniform blow-up profiles of solutions for the global blow-up case. Finally, we give some numerical examples to verify the results. These extend and generalize a recent work of one of the authors [L. Du, Blow-up for a degenerate reaction-diffusion systems with nonlinear localized sources, J. Math. Anal. Appl. 324 (2006) 304-320], which only considered uniform blow-up profiles under the special case p"1=p"2=0. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2010.05.015 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
parabolic system,nonlinear localized source,j. math,blow-up property,initial-boundary problem,single-point blow-up case,special case p,uniform blow-up profile,global blow-up case,numerical example,blow-up solution,l. du | Degenerate energy levels,Nonlinear system,Parabolic system,Mathematical analysis,Numerical analysis,Partial differential equation,Reaction–diffusion system,Mathematics,Special case,Parabola | Journal |
Volume | Issue | ISSN |
235 | 1 | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mingshu Fan | 1 | 4 | 3.68 |
| Lili Du | 2 | 12 | 5.36 |
| Qiaolin He | 3 | 11 | 2.18 |