Single-point blow-up patterns for a nonlinear parabolic equation
β Scribed by Jong-Shenq Guo; Yung-Jen Lin Guo; Je-Chiang Tsai
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 175 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We study a nonlinear parabolic equation with a superlinear reaction term. By studying the backward self-similar solutions for this equation, we construct a ΓΏnite number of self-similar single-point blow-up patterns with di erent oscillations.
π SIMILAR VOLUMES
In this paper, we consider the blow-up properties of the radial solutions of the nonlocal parabolic equation with homogeneous Dirichlet boundary condition, where Ξ», p > 0, 0 < Ξ± β€ 1. The criteria for the solutions to blow-up in finite time is given. It is proved that the blow-up is global and unifo
In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =β(a(u)βu) + f(x; u; q; t) (q = |βu| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio