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Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping by Nguyen, Hung D. is a scholarly article available to read on EtoBox.

What is Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping about?

We study the long time statistics of a class of semi--linear wave equations modeling the motions of a particle suspended in continuous media while being subjected to random perturbations via an additive Gaussian noise. By comparison with the nonlinear reaction settings, of which the solutions are known to possess geometric ergodicity, we find that, under the impact of nonlinear dissipative damping, the mixing rate is at least polynomial of any order. This relies on a combination of Lyapunov conditions, the contracting property of the Markov transition semigroup as well as the notion of $d$--small sets.

Author

Nguyen, Hung D.

Published

2022

Language

EN