Refined Asymptotics for the Infinite Heat Equation with Homogeneous Dirichlet Boundary Conditions
✍ Scribed by Laurençot, Philippe; Stinner, Christian
- Book ID
- 121367354
- Publisher
- Taylor and Francis Group
- Year
- 2010
- Tongue
- English
- Weight
- 172 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0360-5302
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📜 SIMILAR VOLUMES
In this paper we consider the heat equation u s ⌬ u in an unbounded domain t N Ž . ⍀;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and
In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function v(y, t) = (Tt) 1/(2p+α-2) u((Tt) (p-1)/(2p+α-2) y, t), behaves as t → T like a nontrivial self