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Galerkin-Ritz procedures for approximate solutions to systems of reaction-diffusion equations

✍ Scribed by Gerald Rosen

Book ID
112754246
Publisher
Springer
Year
1978
Tongue
English
Weight
483 KB
Volume
40
Category
Article
ISSN
1522-9602

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πŸ“œ SIMILAR VOLUMES

Galerkin-ritz procedures for approximate
Galerkin-ritz procedures for approximate solutions to systems of reaction-diffusion equations
✍ Gerald Rosen πŸ“‚ Article πŸ“… 1978 πŸ› Springer 🌐 English βš– 469 KB

For any essentially nonlinear system of reaction diffusion equations of the generic form Oci/?t = DiV~c~ + Q~(e, x, t) supplemented with Robin type boundary conditions over the surface of a closed bounded three-dimensional region, it is demonstrated that all solutions for the concentration distribut

Solutions to systems of nonlinear reacti
Solutions to systems of nonlinear reaction-diffusion equations
✍ Gerald Rosen πŸ“‚ Article πŸ“… 1975 πŸ› Springer 🌐 English βš– 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
✍ 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