Inertial manifolds for stochastic pde with dynamical boundary conditions
Inertial manifolds for stochastic pde with dynamical boundary conditions
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DOI：
10.3934/cpaa.2011.10.831
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发表时间：
2010-12
影响因子：
1
通讯作者：
Peter Brune;B. Schmalfuß
中科院分区：
文献类型：
--
作者：
Peter Brune;B. Schmalfuß
本文研究了具有动力边界条件的随机偏微分方程的动力学性质。我们证明了这样一个问题与Lipschitz连续非线性生成一个随机动力系统。主要结果是证明了该随机动力系统具有惯性流形。在非线性的附加假设下，这个流形是可微的。
In this article we investigate the dynamics of stochastic partial differential equations with dynamical boundary conditions. We prove that such a problem with Lipschitz continuous non--linearity generates a random dynamical system. The main result is to show that this random dynamical system has an inertial manifold. Under additional assumptions on the non--linearity this manifold is differentiable.