Freidlin--Wentzell Type Large Deviation Principle for Multiscale Locally Monotone SPDEs
This work is concerned with a Freidlin--Wentzell type large deviation principle for a family of
multiscale quasilinear and semilinear stochastic partial differential equations. Employing the …
multiscale quasilinear and semilinear stochastic partial differential equations. Employing the …
Large deviation principle for a class of stochastic partial differential equations with fully local monotone coefficients perturbed by Lévy noise
The asymptotic analysis of a class of stochastic partial differential equations (SPDEs) with
fully local monotone coefficients covering a large variety of physical systems, a wide class of …
fully local monotone coefficients covering a large variety of physical systems, a wide class of …
Quasi-generalised KPZ equation
We derive the renormalised equation for the quasi-generalised KPZ equation with space-
time white noise. We complement the program initiated by Gerencs\'er and Hairer for solving …
time white noise. We complement the program initiated by Gerencs\'er and Hairer for solving …
Wong–Zakai Approximation for a stochastic 2D Cahn–Hilliard–Navier–Stokes model
TT Medjo - Mathematische Nachrichten, 2023 - Wiley Online Library
In this paper, we demonstrate the Wong–Zakai approximation results for two dimensional
stochastic Cahn–Hilliard–Navier–Stokes model. The model consists of a Navier–Stokes …
stochastic Cahn–Hilliard–Navier–Stokes model. The model consists of a Navier–Stokes …
Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Lévy noise
In this article, we consider the following class of stochastic partial differential equations
(SPDEs): d X (t)= A (t, X (t)) dt+ B (t, X (t)) dW (t)+∫ Z γ (t, X (t-), z) π~(dt, dz), t∈[0, T], X (0) …
(SPDEs): d X (t)= A (t, X (t)) dt+ B (t, X (t)) dW (t)+∫ Z γ (t, X (t-), z) π~(dt, dz), t∈[0, T], X (0) …
Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
The existence of global-in-time bounded martingale solutions to a general class of cross-
diffusion systems with multiplicative Stratonovich noise is proved. The equations describe …
diffusion systems with multiplicative Stratonovich noise is proved. The equations describe …
Small time asymptotics for SPDEs with locally monotone coefficients
This work aims to prove the small time large deviation principle (LDP) for a class of
stochastic partial differential equations (SPDEs) with locally monotone coefficients in …
stochastic partial differential equations (SPDEs) with locally monotone coefficients in …
Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations
In this work, we demonstrate the Wong-Zakai approximation results for two-and three-
dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by …
dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by …
Wong–Zakai approximations and support theorems for stochastic McKean–Vlasov equations
J Xu, J Gong - Forum Mathematicum, 2022 - degruyter.com
In this paper, we are concerned with the limit theory of stochastic McKean–Vlasov equations.
First, we prove the optimal L p (p⩾ 2) strong convergence rate of the Wong–Zakai …
First, we prove the optimal L p (p⩾ 2) strong convergence rate of the Wong–Zakai …
Stochastic Integral Evolution Equations with Locally Monotone and Non-Lipschitz Coefficients
X Huang, W Hong, W Liu - Frontiers of Mathematics, 2023 - Springer
In this work the existence and uniqueness of strong solutions are established for a class of
stochastic integral evolution equations with locally monotone and non-Lipschitz coefficients …
stochastic integral evolution equations with locally monotone and non-Lipschitz coefficients …