Attractors for reaction-diffusion equations on thin domains whose linear part is non-self-adjoint

[摘要] For a bounded smooth domain Ohm subset of RNx+Ny let Ohm(epsilon), 0 < epsilon, be a family of domains squeezed in y is an element of R-Ny direction. On Ohm(epsilon) 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 epsilon down arrow 0. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-01

[关键词] reaction-diffusion equations;non-self-adjoint;thin domain;attractors