Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation (Q697422)
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scientific article; zbMATH DE number 1801630
| Language | Label | Description | Also known as |
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| English | Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation |
scientific article; zbMATH DE number 1801630 |
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Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation (English)
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17 September 2002
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The authors study long-time behavior of weak solutions of the equation \(w_{tt}+g(w_{t})-\triangle w +f(w)=0\) on \(\Omega \times (0,\infty)\) satisfying the Dirichlet boundary condition and some initial data, where \(\Omega \) is a smooth bounded domain in \(\mathbb{R}^2.\) Under certain assumptions on the functions \(f,g\) they prove the existence, regularity and finite dimensionality of global attractor.
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Dirichlet boundary condition
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global attractor
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initial-boundary value problem
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