2 citations · 4 across the 9 of their papers we have counts for
11 papers
Large Deviations of Invariant Measures of Fractional Reaction-Diffusion Equations Driven by Multiplicative Noise on R^n
Bixiang Wang, Lu Yang
In this paper, we establish large deviations of invariant measures for fractional stochastic reaction-diffusion equations with polynomial reaction term driven by unbounded multipli…
Uniform Large Deviations of Mckean-Vlasov Stochastic Fractional -Laplacian Equations Driven by Superlinear Noise on
Renhai Wang, Zhang Chen, Bixiang Wang
The global-in-time well-posedness and uniform large deviation principles (LDPs) are investigated for a wide class of Mckean-Vlasov stochastic non-local fractional -Laplacian…
Existence and vanishing noise limit of measure attractors for McKean-Vlasov -Laplacian lattice systems with delay driven by Lévy noise
Zhang Chen, Xiaoxiao Sun, Bixiang Wang
This paper is concerned with the existence and the limiting behavior of measure attractors of distribution laws of the solution segment process for the McKean-Vlasov stochastic …
Stability of invariant measures of the stochastic Landau-Lifshitz-Bloch equation with vanishing noise
Zhaoyang Qiu, Daiwen Huang, Bixiang Wang
In this paper, we investigate the limiting dynamics of invariant measures of the stochastic Landau-Lifshitz-Bloch equation driven by the Stratonovich noise defined on the entire sp…
Well-posedness of Fractional Stochastic p-Laplace Equations Driven by Superlinear Transport Noise
Bixiang Wang
In this paper, we prove the existence and uniqueness of solutions of the fractional p-Laplace equation with a polynomial drift of arbitrary order driven by superlinear transport no…
Martingale Solutions of Fractional Stochastic Reaction-Diffusion Equations Driven by Superlinear Noise
Bixiang Wang
In this paper, we prove the existence of martingale solutions of a class of stochastic equations with pseudo-monotone drift of polynomial growth of arbitrary order and a continuous…
Invariant measures and their limiting behavior of the Landau-Lifshitz-Bloch equation in unbounded domains
Daiwen Huang, Zhaoyang Qiu, Bixiang Wang
This paper deals with the existence and limiting behavior of invariant measures of the stochastic Landau-Lifshitz-Bloch equation driven by linear multiplicative noise and additive…
Invariant measures, periodic measures and pullback measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains
Lin Shi, Jun Shen, Kening Lu +1
This paper deals with the long term dynamics of the non-autonomous McKean-Vlasov stochastic reaction-diffusion equations on R^n. We first prove the existence and uniqueness of pull…
Well-posedness and large deviations of fractional McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains
Zhang Chen, Bixiang Wang
This paper is mainly concerned with the large deviation principle of the fractional McKean-Vlasov stochastic reaction-diffusion equation defined on R^n with polynomial drift of any…
Uniform Large Deviation Principles of Fractional Reaction-Diffusion Equations Driven by Superlinear Multiplicative Noise on R^n
Bixiang Wang
In this paper, we investigate the uniform large deviation principle of the fractional stochastic reaction-diffusion equation on the entire space R^n as the noise intensity approach…
Large Deviation Principles of Invariant Measures of Stochastic Reaction-Diffusion Lattice Systems
Bixiang Wang
In this paper, we study the large deviation principle of invariant measures of stochastic reaction-diffusion lattice systems driven by multiplicative noise. We first show that any…