Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise
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Publication:6142413
DOI10.1016/j.jde.2023.11.006zbMath1530.35070OpenAlexW4388997287MaRDI QIDQ6142413
Renhai Wang, Nguyen Huy Tuan, Tomás Caraballo Garrido
Publication date: 21 December 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.11.006
ergodicityvariational approachinvariant measurerandom attractorsstochastic evolution equationnonlinear noise
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) PDEs with randomness, stochastic partial differential equations (35R60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean-square random dynamical systems
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Hitchhiker's guide to the fractional Sobolev spaces
- Stochastic partial differential equations: an introduction
- SPDE in Hilbert space with locally monotone coefficients
- Random attractors for stochastic lattice dynamical systems in weighted spaces
- Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains
- Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
- 2D stochastic Navier-Stokes equations with a time-periodic forcing term
- Non-autonomous and random attractors for delay random semilinear equations without uniqueness
- Monotone (nonlinear) operators in Hilbert space
- On exponential stability criteria of stochastic partial differential equations
- Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
- Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
- Stability and random attractors for a reaction-diffusion equation with multiplicative noise
- Stability of random attractors under perturbation and approximation
- Mean-square random invariant manifolds for stochastic differential equations
- Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
- Limiting behavior of invariant measures of stochastic delay lattice systems
- Well-posedness and long term behavior of supercritical wave equations driven by nonlinear colored noise on \(\mathbb{R}^n\)
- Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise
- Existence, exponential mixing and convergence of periodic measures of fractional stochastic delay reaction-diffusion equations on \(\mathbb{R}^n\)
- Non-autonomous nonlocal partial differential equations with delay and memory
- Well-posedness and dynamics of fractional FitzHugh-Nagumo systems on \(\mathbb{R}^N\) driven by nonlinear noise
- Wong-Zakai approximations and long term behavior of stochastic partial differential equations
- Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise
- Weak pullback attractors for mean random dynamical systems in Bochner spaces
- Attractors of non-autonomous stochastic lattice systems in weighted spaces
- A concise course on stochastic partial differential equations
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- Non-linear equations of evolution
- Random exponential attractor for stochastic reaction-diffusion equation with multiplicative noise in \(\mathbb{R}^3\)
- Energy equality for the 3D critical convective Brinkman-Forchheimer equations
- Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
- Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains
- Dissipative stochastic equations in Hilbert space with time dependent coefficients
- Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
- Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
- Systematic Measures of Biological Networks I: Invariant Measures and Entropy
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Nonlocal Tug-of-War and the Infinity Fractional Laplacian
- Upper semicontinuity of attractors for small random perturbations of dynamical systems
- Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms
- Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations
- Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations
- On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative
- On initial and terminal value problems for fractional nonclassical diffusion equations
- Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
- Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$
- Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing
- Existence and regularity results for terminal value problem for nonlinear fractional wave equations
- Stochastic evolution equations
- Stochastic Equations in Infinite Dimensions