Abstract
An investigation is made of certain nonlinear Volterra integral equations which model explosive behavior in a diffusive medium. The basic results provide criteria involving the kernel and the nonlinearity for the solution to experience blow-up. Supporting examples from solid combustion and shear band formation are provided. Also, the connection is made with one-dimensional parabolic partial differential equations.
Original language | English (US) |
---|---|
Pages (from-to) | 531-546 |
Number of pages | 16 |
Journal | Journal of Integral Equations and Applications |
Volume | 5 |
Issue number | 4 |
DOIs | |
State | Published - 1993 |
ASJC Scopus subject areas
- Numerical Analysis
- Applied Mathematics