𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Continuation of blowup solutions of nonl
✍ Victor A. Galaktionov; Juan L. Vazquez 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 394 KB 👁 2 views

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

Critical Exponents for the Blowup of Sol
✍ Noriko Mizoguchi; Eiji Yanagida 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 353 KB

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