Ergodic Theory of Infinite Dimensional Systems¶with Applications to Dissipative Parabolic PDEs
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We consider a class of randomly perturbed dynamical systems satisfying conditions which reflect the properties of general (nonlinear) dissipative parabolic PDEs. Results on invariant measures and their exponential mixing properties are proved, and applications to 2D Navier–Stokes systems are included.
KeywordsDynamical System Invariant Measure Ergodic Theory Dimensional System Stokes System
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