The blow-up rate for a system of heat equations with neumann boundary conditions

Authors
Lin, Zhigui Xie, Chunhong
Citation
Lin, Zhigui et Xie, Chunhong, The blow-up rate for a system of heat equations with neumann boundary conditions, Acta mathematica Sinica. English series (Print) , 15(4), 1999, pp. 549-554
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
15
Issue
4
Year of publication
1999
Pages
549 - 554
Database
ACNP
SICI code
Abstract
This paper deals with the blow-up properties of solutions to a system of heat equations u t=.u, v t=.v in B R.(0, T) with the Neumann boundary conditions .u/..=e v, .v/..=e u on S R.[0, T). The exact blow-up rates are established. It is also proved that the blow-up will occur only on the boundary.