Abstract
An investigation is made of the blow-up growth property of the solution to certain nonlinear Volterra integral equations which model explosive behavior in a diffusive medium. The basic results provide the asymptotic form of the blow-up solution for a large class of kernels as well as various nonlinearities based on examples from solid combustion and adiabatic shear band formation.
Original language | English (US) |
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Pages (from-to) | 153-159 |
Number of pages | 7 |
Journal | Quarterly of Applied Mathematics |
Volume | 54 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1996 |
ASJC Scopus subject areas
- Applied Mathematics