On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy

Wenqing Hu ()
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Wenqing Hu: Missouri University of Science and Technology (formerly University of Missouri, Rolla)

Journal of Theoretical Probability, 2020, vol. 33, issue 3, 1266-1295

Abstract: Abstract We consider in this work a model conservative system subject to dissipation and Gaussian-type stochastic perturbations. The original conservative system possesses a continuous set of steady states and is thus degenerate. We characterize the long-time limit of our model system as the perturbation parameter tends to zero. The degeneracy in our model system carries features found in some partial differential equations related, for example, to turbulence problems.

Keywords: Random perturbations of dynamical system; Group symmetry; Invariant measure; Nonlinear dynamics; Irreversibility; 37L40; 60H10; 76F20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10959-019-00911-2

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