Czasopismo
2012
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Vol. 45, nr 1
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81-93
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The purpose of this paper is to prove the global existence in time of solutions for the coupled reaction-diffusion system: (…) with triangular matrix of diffusion coefficients. By combining the Lyapunov functional method with the regularizing effect, we show that global solutions exist. Our investigation applied for a wide class of the nonlinear terms f and g.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
81-93
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
autor
- Laboratoire De Mathématiques, Dynamique Et Modélisation Université Badji Mokhtar B.P. 12 Annaba 23000, Algerie, inemuom@yahoo.fr
Bibliografia
- [1] N. Alikakos, L p bounds of solutions of reaction-diffusion equations, Comm. Partial Differential Equations 4 (1979), 827–828.
- [2] P. Baras, J. C. Hassan, L. Veron, Compacité de l’opérateur définissant la solution d’une équation d’évolution non homogène, C. R. Acad. Sci. Paris Sér. I Math. 284 (1977), 799–802.
- [3] S. Bonaved, D. Schmitt, Triangular reaction-diffusion systems with integrable initial data, Nonlinear. Anal 33 (1998), 785–801.
- [4] T. Diagana, Some remarks on some strongly coupled reaction-diffusion equations, J.Reine. Angew., 2003.
- [5] R. Fisher, The advance of advantageous genes, Ann. Eugenics 7 (1937), 335–369.
- [6] H. Fujita, On the blowing up of solutions to the Cauchy problem for (…), J. Fac. Sci. Univ. Tokyo Sect. A Math. 16 (1966), 105–113.
- [7] A. Haraux, M. Kirane, Estimation C1 pour des problèmes paraboliques semi-linéaires, Ann. Fac. Sci. Toulouse Math. 5 (1983), 265–280.
- [8] A. Haraux, A. Youkana, On a result of K. Masuda concerning reaction-diffusion equations, Tohoku. Math. J. 40 (1988), 159–163.
- [9] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math., 840, Springer Verlag, New York, 1981.
- [10] S. L. Hollis, R. H. Martin, M. Pierre, Global existence and boundedness in reaction diffusion systems, SIAM. J. Math. Anal. 18(3) (1987), 744–761.
- [11] I. Kanel, M. Kirane, Global existence and large time behavior of positive solutions to a reaction diffusion system, Differ. Integral Equ. Appl. 13(1–3) (2000), 255–264.
- [12] S. Kouachi, Global existence of solutions to reaction diffusion systems via a Lyapunov functional, Electron. J. Differential Equations (68) (2001), 1–10.
- [13] S. Kouachi, A. Youkana, Global existence and asymptotics for a class of reaction-diffusion systems, Bull. Polish Acad. Sci. Math. 49(3), 2001.
- [14] R. H. Martin, M. Pierre, Nonlinear reaction-diffusion systems, in: Nonlinear Equations in the Applied Sciences, Math. Sci. Eng. Acad. Press, New York 1991.
- [15] K. Masuda, On the global existence and asymptotic behavior of solutions of reaction diffusion equations, Hokkaido Math. J. 12 (1983), 360–370.
- [16] A. Moumeni, L. Salah Derradji, Global existence of solution for reaction diffusion systems, IAENG, Int. J. Appl. Math. 40(2) (2010), 84–90.
- [17] J. D. Murray, Mathematical Biologie, 3rd ed., Interdisciplinary Applied Mathematics, Springer Verlag, 2002.
- [18] A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Siences, Springer–Verlag, New York, 1983.
- [19] M. Pierre, D. Schmitt, Blow up in reaction-diffusion systems with dissipation of mass, SIAM. J. Math. Anal. 42(1) (2000), 93–106.
- [20] F. Roth, Global solutions of reaction diffusion systems, Lecture Notes in Math. 1072, Springer Verlag, Berlin, 1984.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0034-0009