Explosion in a Diffusive Strip Due to a Concentrated Nonlinear Source

W. E. Olmstead, C. A. Roberts

Research output: Contribution to journalArticle

Abstract

The possibility of a blow-up solution to the heat equation with a concentrated source in a finite strip is examined. It is found that blow-up always occurs for the Neumann problem, whereas for the Dirichlet problem it depends upon the length of the strip and proximity of the source site to the boundary. For those situations in which blow-up does occur, the growth rate is determined for a certain class of nonlinearities.
Original languageEnglish
Pages (from-to)434-445
JournalMethods and Applications of Analysis
Volume1
StatePublished - 1994

Fingerprint Dive into the research topics of 'Explosion in a Diffusive Strip Due to a Concentrated Nonlinear Source'. Together they form a unique fingerprint.

Cite this