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Axi-Symmetric, Time-Periodic Solutions of Reaction-Diffusion Equations

✍ Scribed by J. M. Greenberg

Book ID
124874751
Publisher
Society for Industrial and Applied Mathematics
Year
1978
Tongue
English
Weight
391 KB
Volume
34
Category
Article
ISSN
0036-1399

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πŸ“œ SIMILAR VOLUMES

Periodic solutions to systems of reactio
Periodic solutions to systems of reaction-diffusion equations
✍ Gerald Rosen πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 365 KB

In this paper, necessary and suficient conditions are derived for the existence of temporally periodic "dissipative structure" solutions in cases of weak diffusion with the reaction rate terms dominant in a generic system of reaction--diffusion equations hi/at = Di V2 ci + Qi(c), where the enumerato

A remark on stable subharmonic solutions
A remark on stable subharmonic solutions of time-periodic reaction–diffusion equations
✍ Hiroki Yagisita; Eiji Yanagida πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 177 KB

This paper is concerned with a time-periodic reaction-diffusion equation. It is known that typical trajectories approach periodic solutions with possibly longer period than that of the equation. Such solutions are called subharmonic solutions. In this paper, for any domain Ω, time-period Ο„ > 0 and i