Bounds for blow-up time in nonlinear parabolic problems
By Lawrence E. Payne, Gérard A. Philippin, Philip W. Schaefer. 2008
68 citations recorded by the source corpus.
Abstract A first order differential inequality technique is used on suitably defined auxiliary functions to determine lower bounds for blow-up time in initial-boundary value problems for parabolic equations of the form u t = div ( ρ ( u ) grad u ) + f ( u ) if blow-up occurs. In addition, conditions which ensure that blow-up occurs or does not occur are presented.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c06877997bef669b3795de30c725ed5fbbe666e4
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In Applied Mathematics
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- Blow-up phenomena for some nonlinear parabolic problems (2008, background): “Introduction In a series of papers the authors have studied the phenomena of blow-up of solutions in initial-boundary value problems for nonlinear parabolic equations (see [3], [4], [5], [6]).”