Single-point blow-up patterns for a nonlinear parabolic equation (Q1395850)
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scientific article; zbMATH DE number 1945025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Single-point blow-up patterns for a nonlinear parabolic equation |
scientific article; zbMATH DE number 1945025 |
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Single-point blow-up patterns for a nonlinear parabolic equation (English)
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1 July 2003
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The paper deals with the nonlinear parabolic equation \[ u_t = u(\Delta u + u^p), \quad x \in \mathbb{R}^n, \;t > 0, \] where \(p>1\). The authors study the backward self-similar solutions of the above equation and construct a finite number of self-similar single point blow-up patterns with different oscillations.
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backward self-similar solution
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