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
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
β Scribed by A. G. Nikitin
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 176 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
Discrete particle simulation techniques developed for prob]ems in plasma physics have been adapted to investigate one-dimensional dissipative structures. The results of the model are found to be consistent with bifurcation analysis of nonlinear reaction-diffusion equations. Two distinct types of beh
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