We consider the Cauchy-Dirichlet problem of the heat equation in the exterior domain of a ball, and study the movement of hot spots H(t) as t → ∞. In particular, we give a rate for the hot spots to run away from the boundary of the domain as t → ∞. Furthermore we give a sufficient condition for the hot spots to consist of only one point after a finite time.
|Number of pages||32|
|Journal||Advances in Differential Equations|
|Publication status||Published - 2007 Dec 1|
ASJC Scopus subject areas
- Applied Mathematics