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The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition
- Source :
-
Computers & Mathematics with Applications . Nov2009, Vol. 58 Issue 10, p2005-2021. 17p. - Publication Year :
- 2009
-
Abstract
- Abstract: In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function behaves as like a nontrivial self-similar profile. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 58
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 44856141
- Full Text :
- https://doi.org/10.1016/j.camwa.2009.07.066