Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations

DOI10.1142/S0219025722500059zbMath1496.37081arXiv2012.12605OpenAlexW3115888752WikidataQ114072696 ScholiaQ114072696MaRDI QIDQ5071341

Manil T. Mohan, Kush Kinra

Publication date: 21 April 2022

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12605

zbMATH Keywords

nonlinear diffusionBochner spacesstochastic convective Brinkman-Forchheimer equationslocally monotone stochastic partial differential equationsweak pullback mean randon attractor

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (8)

Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations ⋮ Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations ⋮ Large deviations for the two-time-scale stochastic convective Brinkman-Forchheimer equations ⋮ Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise ⋮ \(\mathbb{H}^1\)-random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains ⋮ Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains ⋮ Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space. ⋮ Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations

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