Thermal avalanche for blowup solutions of semilinear heat equations
✍ Scribed by Fernando Quirós; Julio D. Rossi; Juan Luis Vázquez
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 654 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0010-3640
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📜 SIMILAR VOLUMES
The possible continuation of solutions of the nonlinear heat equation in after the blowup time is studied and the different continuation modes are discussed in terms of the exponents m and p. Thus, for m + p ≤ 2 we find a phenomenon of nontrivial continuation where the region {x : u(x, t) = ∞} is b
The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2Â(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T