A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
- 1 June 1981
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 40 (3) , 476-484
- https://doi.org/10.1137/0140040
Abstract
No abstract availableKeywords
This publication has 13 references indexed in Scilit:
- The Thermal Explosion Confined by a Constant Temperature Boundary: II— The Extremely Rapid TransientSIAM Journal on Applied Mathematics, 1981
- The Thermal Explosion Confined by a Constant Temperature Boundary:I—The Induction Period SolutionSIAM Journal on Applied Mathematics, 1980
- Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equationsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1978
- Criteria for thermal explosions with and without reactant consumptionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1977
- Invariant sets and the hokohara-kneser property for systems of parabolic partial differential equationsRocky Mountain Journal of Mathematics, 1977
- Nonexistence of global solutions and bifurcation analysis for a boundary-value problem of parabolic typeProceedings of the American Mathematical Society, 1977
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONSThe Quarterly Journal of Mathematics, 1977
- The present state of the thermal ignition theory: An invited reviewCombustion and Flame, 1971
- On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}Bulletin of the American Mathematical Society, 1969
- On the growth of solutions of quasi‐linear parabolic equationsCommunications on Pure and Applied Mathematics, 1963