Ergodicity for locally monotone stochastic evolution equations with L\'evy noise

Autor:	Barrera, Gerardo, Tölle, Jonas M.
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Mathematics - Functional Analysis 35K65 35R60 37A25 37L40 47D07 60G51 60H15 76D05
Druh dokumentu:	Working Paper
Popis:	We establish general conditions for stochastic evolution equations with locally monotone drift and degenerate additive L\'evy noise in variational formulation resulting in the existence of a unique invariant measure for the associated weakly ergodic Markovian Feller semigroup. We prove improved moment estimates for the solutions and the so-called $e$-property of the semigroup. Examples include the stochastic incompressible 2D Navier-Stokes equations, shear thickening stochastic power-law fluid equations, the stochastic heat equation, as well as, stochastic semilinear equations such as the 1D stochastic Burgers equation. Comment: 43 pages, 80 references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.01381 Zobrazit plný text záznamu View this record from Arxiv