Attractors for reaction-diffusion equations on thin domains whose linear part is non-self-adjoint |
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Authors: | Thomas Elsken |
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Institution: | Fb Mathematik, Universität Rostock, D-18051 Rostock, Germany |
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Abstract: | For a bounded smooth domain Ω⊂RNx+Ny let Ω?, 0<?, be a family of domains squeezed in y∈RNy direction. On Ω? we consider a reaction-diffusion equation with nonsymmetrical linear part. We show that under natural conditions on the nonlinearity the generated semi-flows have global attractors which in a certain sense have limits, as ?↓0. |
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Keywords: | 35K 35B |
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