| Autor: |
Carmen Cortazar, Manuel Del Pino, Manuel Elgueta |
| Jazyk: |
angličtina |
| Rok vydání: |
2002 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol Conference, Iss 08, Pp 85-101 (2002) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
We describe the (finite-time) blow-up phenomenon for a non-negative solution of a porous medium equation of the form $$ u_t = Delta u^m + u^m $$ in the entire space. Here $m>1$ and the initial condition is assumed compactly supported. Blow-up takes place exactly inside a finite number of balls with same radii and exhibiting the same self-similar profile. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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