Asymptotic stability of evolution systems of probability measures for nonautonomous stochastic systems: Theoretical results and applications

DOI10.1090/proc/16359OpenAlexW4313203982MaRDI QIDQ5889226

Nguyen Huy Tuan, Renhai Wang, Tomás Caraballo Garrido

Publication date: 19 April 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13039

zbMATH Keywords

invariant measuretightnesslattice systemlimit measurenonlinear noise

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (7)

Random attractors and invariant measures for 3D stochastic globally modified Navier-Stokes equations with time-dependent delay and coefficient ⋮ Stochastic 3D globally modified Navier-Stokes equations: weak attractors, invariant measures and large deviations ⋮ Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise ⋮ Well-posedness and dynamics of stochastic retarded FitzHugh-Nagumo lattice systems ⋮ Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model ⋮ Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\) ⋮ The existence of evolution systems of measures of non-autonomous stochastic differential equations with infinite delays

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