A global attractor and stationary solutions for a reaction-diffusion system arising from climate modeling
β Scribed by G. Hetzer; P.G. Schmidt
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 892 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three eq
The system u 1t &2u 1 =u 1 u 2 &bu 1 , u 2t &2u 2 =au 1 in 0\_(0, T), where 0/R n is a smooth bounded domain, with homogeneous Dirichlet boundary conditions u 1 = u 2 =0 on 0\_(0, T) and initial conditions u 1 (x, 0), u 2 (x, 0), is studied. First, it is proved that there is at least one positive st