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Stability Properties of Solutions to Systems of Reaction-Diffusion Equations

โœ Scribed by Richard G. Casten and Charles J. Holland

Book ID
124180647
Publisher
Society for Industrial and Applied Mathematics
Year
1977
Tongue
English
Weight
894 KB
Volume
33
Category
Article
ISSN
0036-1399

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๐Ÿ“œ SIMILAR VOLUMES

Solutions to systems of nonlinear reacti
Solutions to systems of nonlinear reaction-diffusion equations
โœ Gerald Rosen ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› Springer ๐ŸŒ English โš– 641 KB

General criteria which either preclude time-periodic dissipative structure solutions or imply asymptotically steady solutions are derived for generic systems of reaction-diffusion equations ~ct[at = DtV2c~ + Qt(c) subject to boundary conditions of practical interest, where the enumerator index i run

Periodic solutions to systems of reactio
Periodic solutions to systems of reaction-diffusion equations
โœ Gerald Rosen ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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