Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
469516 | Computers & Mathematics with Applications | 2005 | 17 Pages |
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 v(y,t)=(T−t)1/(2p+α−2)u((T−t)(p−1)/(2p+α−2)y,t),v(y,t)=(T−t)1/(2p+α−2)u((T−t)(p−1)/(2p+α−2)y,t), behaves as t→Tt→T like a nontrivial self-similar profile.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zhiwen Duan,