Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models (Q874385)
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scientific article; zbMATH DE number 5140549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models |
scientific article; zbMATH DE number 5140549 |
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Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models (English)
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5 April 2007
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The authors study the following Kirchhoff-Boussinesq model for a plate: \(w_{tt}+kw_t + \Delta^2w = \text{div} [f_0(\nabla w)] + \Delta [f_1(w)] - f_2(w)\) on a bounded domain in the plain. Under appropriate conditions on the parameters and functions in the equation and initial and boundary conditions, they prove well-posedness of finite energy solutions and the existence of a weakly compact global attractor.
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2D Boussinesq models
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weak well-posedness
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global attractors
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