Asymptotic behavior of solutions to the three-dimensional stochastic Leray-\( \alpha\) model
DOI10.1515/rose-2022-2077zbMath1493.35013OpenAlexW4281721710WikidataQ114052703 ScholiaQ114052703MaRDI QIDQ2671498
Publication date: 3 June 2022
Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/rose-2022-2077
stabilizationstationary solutionlinear feedback controlItô noisemean square exponential stabilitypathwise exponential stabilitystochastic Leray-\(\alpha\) model
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) PDEs with randomness, stochastic partial differential equations (35R60) Singular parabolic equations (35K67) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the rate of convergence of the 2-D stochastic Leray-\(\alpha \) model to the 2-D stochastic Navier-Stokes equations with multiplicative noise
- Bounds on energy and enstrophy for the 3D Navier-Stokes-\(\alpha\) and Leray-\(\alpha\) models
- The exponential behaviour and stabilizability of stochastic 2D-Navier-Stokes equations
- On the convergence of the uniform attractor for the 2D Leray-\(\alpha\) model
- Estimates of the modeling error of the \(\alpha \)-models of turbulence in two and three space dimensions
- Exponential stability of non-linear stochastic evolution equations
- Stochastic 2D hydrodynamical type systems: well posedness and large deviations
- Large deviations for stochastic 3D Leray-\( \alpha \) model with fractional dissipation
- On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system
- On the strong solution for the 3D stochastic Leray-\(\alpha\) model
- Internal stabilizability of the Navier-Stokes equations
- On stabilization of partial differential equations by noise
- On the Rate of Convergence of the Two-Dimensional α-Models of Turbulence to the Navier–Stokes Equations
- Discrete data assimilation algorithm for the three-dimensional Leray-$\alpha $ model
- Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing
- A Data Assimilation Algorithm: the Paradigm of the 3D Leray-α Model of Turbulence
- Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise
- On a Leray–α model of turbulence
- Stability of the Crank–Nicolson–Adams–Bashforth scheme for the 2D Leray‐alpha model
This page was built for publication: Asymptotic behavior of solutions to the three-dimensional stochastic Leray-\( \alpha\) model