The blow-up time for solutions of nonlinear heat equations with small diffusion
Journal Article
·
· SIAM J. Math. Anal.; (United States)
Consider a nonlinear heat equation ..mu../sub t/-epsilon..delta..=f(..mu..) in a cylinder /xelement of..cap omega.., t>0/, with ..mu.. vanishing on the lateral boundary and ..mu..=phi/sub epsilon/(chi) initially (phi/sub epsilon/greater than or equal to0). Denote by T/sub epsilon/ the blow-up time for the solution. Asymptotic estimates are obtained for T/sub epsilon/ as epsilon..-->..0.
- Research Organization:
- Dept. of Mathematics, Purdue Univ., West Lafayette, IN 49707
- OSTI ID:
- 5657896
- Journal Information:
- SIAM J. Math. Anal.; (United States), Vol. 18:3
- Country of Publication:
- United States
- Language:
- English
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