Stabilization by transport noise and enhanced dissipation in the Kraichnan model

Autor:	Gess, Benjamin, Yaroslavtsev, Ivan
Rok vydání:	2021
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs Mathematics - Dynamical Systems 37H15 Secondary: 58J65 60G15 60H15 76M35 93D30
Druh dokumentu:	Working Paper
Popis:	Stabilization and sufficient conditions for mixing by stochastic transport are shown. More precisely, given a second order linear operator with possibly unstable eigenvalues on a smooth compact Riemannian manifold, it is shown that the inclusion of transport noise can imply global asymptotic stability. Moreover, it is shown that an arbitrary large exponential rate of convergence can be reached, implying enhanced dissipation. The sufficient conditions are shown to be satisfied by the so-called Kraichnan model for stochastic transport of passive scalars in turbulent fluids. In addition, an example is given showing that it can be sufficient to force four modes in order to induce stabilization. Comment: Minor revision
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.03949 Zobrazit plný text záznamu View this record from Arxiv