The blow-up time for solutions of nonlinear heat equations with small diffusion

Journal Article · Fri May 01 04:00:00 EDT 1987 · SIAM J. Math. Anal.; (United States)

DOI:https://doi.org/10.1137/0518054· OSTI ID:5657896

Friedman, A; Lacey, A A

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), Journal Name: SIAM J. Math. Anal.; (United States) Vol. 18:3; ISSN SJMAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
DIFFUSION
EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
THERMODYNAMICS