## Paper 1. Introduction We consider a coupled (hybrid) system, which describes the interaction of a homogeneous viscous incompressible fluid, which occupies a domain O bounded by the (solid) walls of the container S and a horizontal boundary on which a thin (nonlinear) elastic plate is placed. Th
A global attractor for a fluid--plate interaction model
β Scribed by Chueshov, I.; Ryzhkova, Iryna
- Book ID
- 125842357
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2012
- Tongue
- English
- Weight
- 549 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1534-0392
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Chemotaxis model with volume filling, introduced by Painter and Hillen is studied under no-flux or Dirichlet boundary conditions. Existence of global-in-time solution to a full model is proved. For some cases existence of a global attractor in the space W 1,p ( , R 2 ), p > n, β R n is shown.