Symmetries of non-linear reaction-diffusion equations and their solutions
β Scribed by W.-H. Steeb; W. Strampp
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 543 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
A systematic study is presented for the linear manifold of solutions to a generic system of reaction-diffusion equations in the neighborhood of a constant uniform (equilibrium) solution. The theory pertains directly to an arbitrary number of reacting and diffusing molecular or biological species in
## Communicated by M. Renardy The steady-state problem of the non-linear reaction-diffusion system is considered. The existence of positive steady-solutions is established by using a fixed point theorem in ordered Banach space. The uniqueness of ordered positive steady-state solutions and an appl
where L1, is a smooth bounded domain, f and g are smooth functions which are positive when the argument is positive, and u (x)'0 satisfies some smooth and compatibility conditions to guarantee the classical solution u(x, t) exists. We first obtain some existence and non-existence results for the cor