Global attractors and convergence to equilibrium for degenerate Ginzburg–Landau and parabolic equations
✍ Scribed by Nikos I. Karachalios; Nikos B. Zographopoulos
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 229 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We establish local existence and comparison for a model problem which incorporates the effects of non-linear diffusion, convection and reaction. The reaction term to be considered contains a non-local dependence, and we show that local solutions can be obtained via monotone limits of solutions to ap
## Abstract In this paper we consider a class of complex Ginzburg–Landau equations. We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial‐value problem in __d__‐dimensional torus 𝕋^__d__^, and that solutions are initially approximated by solutions of t