Stabilization of Partial Differential Equations by Levy Noise [PDF]
arXiv, 2011 We focus in this paper on the stochastic stabilization problems of PDEs by Levy noise. Sufficient conditions under which the perturbed systems decay exponentially with a general rate function are provided and some examples are constructed to demonstrate the applications of our theory.
arxiv
An L_p-theory of stochastic parabolic equations with the random fractional Laplacian driven by Lévy processes [PDF]
arXiv, 2011 In this paper we give an $L_p$-theory for stochastic parabolic equations with random fractional Laplacian operator. The driving noises are general L\'evy processes.
arxiv
Well-posedness for a stochastic 2D Euler equation with transport noise. [PDF]
Stoch Partial Differ Equ, 2023 Lang O, Crisan D.
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Large deviations for invariant measures of SPDEs with two reflecting walls [PDF]
arXiv, 2012 In this article, we established a large deviation principle for invariant measures of solutions of stochastic partial differential equations with two reflecting walls driven by space-time white noise.
arxiv
The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications. [PDF]
Stoch Partial Differ Equ, 2022 Balan RM +3 more
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A pathwise solution for nonlinear parabolic equations with stochastic perturbations
Open Mathematics, 2003 Iftimie Bogdan, Varsan Constantin
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An order approach to SPDEs with antimonotone terms. [PDF]
Stoch Partial Differ Equ, 2020 Scarpa L, Stefanelli U.
europepmc +1 more source
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation. [PDF]
J Nonlinear Sci, 2021 Scarpa L.
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Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Appl Math Optim, 2021 Brzeźniak Z, Dhariwal G, Le Gia QT.
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2D Smagorinsky type large eddy models as limits of stochastic PDEs
, 2023 Flandoli F, Luo D, Luongo E.
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