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Self-similar subsolutions and blow-up for nonlinear parabolic equations

✍ Scribed by Philippe Souplet; Fred B. Weissler

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
331 KB
Volume
30
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Self-Similar Subsolutions and Blowup for
Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations
✍ Philippe Souplet; Fred B Weissler πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 229 KB

For a wide class of nonlinear parabolic equations of the form u y ⌬ u s t Ž . F u, ٌu , we prove the nonexistence of global solutions for large initial data. We also estimate the maximal existence time. To do so we use a method of comparison with suitable blowing up self-similar subsolutions. As a c

Single-point blow-up patterns for a nonl
Single-point blow-up patterns for a nonlinear parabolic equation
✍ Jong-Shenq Guo; Yung-Jen Lin Guo; Je-Chiang Tsai πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 175 KB

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.