High Conductivity Limits for Reaction-Diffusion Equations

• Autorzy: Zamani S.
• Języki publikacji: EN

Abstrakty

EN

A reaction-diffusion equation an [0, 1] with the heat conductivity κ > 0, a polynomial drift term, and an additive random perturbation is considered. It is shown that if κ tends to infinity, then the corresponding solutions of the equation converge to a process satisfying an ordinary Itô equation.

Słowa kluczowe

EN

reaction-diffusion equation; polynomial drift; random perturbation

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 1999
• Tom: Vol. 19, Fasc. 1
• Strony: 63--75
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Zamani S.

• Department of Mathematical Sciences, Sharif University of Technology, Teheran, Iran

Bibliografia

• [1] L. Arnold and M. Theodosopulu, Deterministic limit of the stochastic model of chemical reactions with digusion, Adv. in Appl. Probab. 12 (1980), pp. 367-379.
• [2] S. Cerrai, Smoothing properties of transitions semigroups relative to Banach spaces valued SPDE's, Preprint 19, Scoula Normale Superiore, 1997.
• [3] G. Da Prato and J. Zabczyk, Ergodicity for Infinite Dimensional Systems, Lecture Note Series 229, Cambridge University Press, Cambridge 1996.
• [4] T. Funaki, Random motion of strings and related stochastic evolution equations, Nagoya Math. J. 89 (1983), pp. 129-193.
• [5] Sz. Peszat, Existence and uniqueness of the solutions for stochastic equations on Banach spaces, Stochastics 55 (1995), pp. 167-193.
• [6] Sh. Zamani, High conductivity limits for reaction-diffusion equations, Preprint 577, Institute of Mathematics, Polish Academy of Sciences, 1997.