Limit invariant measures for the modified stochastic Swift-Hohenberg equation in a 3D thin domain
DOI10.1007/s00245-024-10140-7zbMATH Open1542.35049MaRDI QIDQ6564706
Yunyun Wei, Unnamed Author, Guanggan Chen
Publication date: 1 July 2024
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Fokker-Planck equationinvariant measurethin domainstochastic Swift-Hohenberg equationstationary statistical solution
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin films (74K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Convergence of probability measures (60B10)
Cites Work
- Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation
- Regularity of the Navier-Stokes equation in a thin periodic domain with large data
- On the regularity of the Navier-Stokes equation in a thin periodic domain
- Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation
- Distance of attractors of reaction-diffusion equations in thin domains
- Stochastic Swift-Hohenberg equation with degenerate linear multiplicative noise
- Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems
- Stochastic attractor bifurcation of the one-dimensional Swift-Hohenberg equation with multiplicative noise
- Reaction-diffusion problem in a thin domain with oscillating boundary and varying order of thickness
- Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation
- Global attractor for a modified Swift-Hohenberg equation
- Ergodic dynamics of the stochastic Swift-Hohenberg system
- Modulation equations: Stochastic bifurcation in large domains
- Mathematics of Two-Dimensional Turbulence
- Il principio di minimo e sue applicazioni alle equazioni funzionali
- Finite-dimensional asymptotic behavior for the Swift-Hohenberg model of convection
- Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain
- Mathematical Problems of Statistical Hydromechanics
- Ergodicity for Infinite Dimensional Systems
- Modulation Equation for Stochastic Swift--Hohenberg Equation
- PULLBACK ATTRACTORS FOR MODIFIED SWIFT-HOHENBERG EQUATION ON UNBOUNDED DOMAINS WITH NON-AUTONOMOUS DETERMINISTIC AND STOCHASTIC FORCING TERMS
- Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise
- Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise
- Random pullback attractor of a non-autonomous local modified stochastic Swift–Hohenberg equation with multiplicative noise
- Stochastic Equations in Infinite Dimensions
- The stochastic Swift–Hohenberg equation
- A coupling approach to randomly forced nonlinear PDE's. I
- Dynamics of evolutionary equations
- Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift–Hohenberg equation
- Random pullback attractor for a non-autonomous modified Swift-Hohenberg equation with multiplicative noise
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