Mathematics > Probability
[Submitted on 4 Aug 2018 (v1), last revised 24 Feb 2019 (this version, v2)]
Title:On the long-time behavior of a perturbed conservative system with degeneracy
View PDFAbstract: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.
Submission history
From: Wenqing Hu [view email][v1] Sat, 4 Aug 2018 17:18:20 UTC (548 KB)
[v2] Sun, 24 Feb 2019 17:31:15 UTC (552 KB)
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