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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 -Laplacia…
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
The paper analyzes a stochastic p‑Laplacian lattice system with time delay driven by Lévy noise, establishing existence and uniqueness of measure attractors for the distribution of…
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…