Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
Applicationes Mathematicae (1999)
- Volume: 26, Issue: 2, page 133-150
- ISSN: 1233-7234
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] N. D. Alikakos, An application of the invariance principle to reaction-diffusion equations, J. Differential Equations 33 (1979), 201-225. Zbl0386.34046
- [2] H. Amann, Dual semigroups and second order linear elliptic boundary value problems, Israel J. Math. 45 (1983), 225-254.
- [3] E. Conway, D. Hoff and J. Smoller, Large time behavior of solutions of systems of nonlinear reaction-diffusion equations, SIAM J. Appl. Math. 35 (1978), 1-16. Zbl0383.35035
- [4] A. Haraux et M. Kirane, Estimations pour des problèmes paraboliques semi-linéaires, Ann. Fac. Sci. Toulouse 5 (1983), 265-280. Zbl0531.35048
- [5] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math. 840, Springer, New York, 1981. Zbl0456.35001
- [6] H. Hoshino and Y. Yamada, Asymptotic behavior of global solutions for some reaction-diffusion equations, Funkcial. Ekvac. 34 (1991), 475-490.
- [7] M. Kirane and A. Youkana, A reaction-diffusion system modelling the post irridiation oxydation of an isotactic polypropylene, Demonstratio Math. 23 (1990), 309-321. Zbl0767.35037
- [8] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, New York, 1983.
- [9] F. Rothe, Global Solutions of Reaction-Diffusion Systems, Lecture Notes in Math. 1072, Springer, Berlin, 1984. Zbl0546.35003
- [10] D. Schmitt, Existence globale ou explosion pour les systèmes de réaction-diffusion avec contrôle de masse, Thèse de doctorat de l'Université Henri Poincaré, Nancy I, 1995.
- [11] J. Smoller, Shock Waves and Reaction-Diffusion Equations, Springer, Berlin, 1983. Zbl0508.35002