Inertial manifolds for stochastic PDE with dynamical boundary conditions (Q652004)
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scientific article; zbMATH DE number 5989636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inertial manifolds for stochastic PDE with dynamical boundary conditions |
scientific article; zbMATH DE number 5989636 |
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Inertial manifolds for stochastic PDE with dynamical boundary conditions (English)
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19 December 2011
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In this paper, the authors investigate the dynamics of stochastic parabolic equations with dynamical boundary conditions defined in a smooth bounded domain in \(\mathbb R^n\). Under certain conditions, the authors first establish the existence of a random dynamical system for the equations, and then construct a random inertial manifold. The differentiability of the inertial manifold is also proved under additional assumptions on the nonlinearity.
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random dynamical systems
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inertial manifolds
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stochastic partial differential equations
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dynamical boundary conditions
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