Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Xiangchan Zhu"'
Publikováno v:
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 2, p2248-2285, 38p
Publikováno v:
Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 1, p163-260, 98p
Autor:
Rongchan Zhu, Xiangchan Zhu
Publikováno v:
Potential Analysis. 58:295-330
We prove the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on $\mathbb{R}^3$ to the dynamical $\Phi^4_3$ model by paracontrolled distributions on weighted Besov space. Our approach depends on the delicate
We develop a new stochastic analysis approach to the lattice Yang--Mills model at strong coupling in any dimension $d>1$, with t' Hooft scaling $\beta N$ for the inverse coupling strength. We study their Langevin dynamics, ergodicity, functional ineq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d0eae008ffca1976068246daa59ccf2
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:4021-4030
In this paper, we prove that the solution constructed in \cite{BR16} satisfies the stochastic vorticity equations with the stochastic integration being understood in the sense of the integration of controlled rough path introduced in \cite{G04}. As a
Autor:
Xiangchan Zhu, Rongchan Zhu
Publikováno v:
Science China Mathematics. 63:381-410
We construct a piecewise linear approximation for the dynamical $$\Phi_3^4$$ model on $$\mathbb{T}^3$$. The approximation is based on the theory of regularity structures developed by Hairer (2014). They proved that renormalization in a dynamical $$\P
We establish global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier--Stokes system driven by space-time white noise. In this setting, solutions are expected to have space regularity at most $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69014b4097b98af7c9d429cb8c5bd680
Publikováno v:
Communications on Pure and Applied Mathematics
We are concerned with the question of well-posedness of stochastic, three-dimensional, incompressible Euler equations. In particular, we introduce a novel class of dissipative solutions and show that (i) existence; (ii) weak-strong uniqueness; (iii)
In this paper we study the large N limit of the $O(N)$-invariant linear sigma model, which is a vector-valued generalization of the $\Phi^4$ quantum field theory, on the three dimensional torus. We study the problem via its stochastic quantization, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42efcebe18fb2a0bffc8a7ab5a1c5569
This paper is devoted to studying the Hamilton-Jacobi-Bellman equations with distribution-valued coefficients, which is not well-defined in the classical sense and shall be understood by using paracontrolled distribution method introduced in \cite{GI
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4b22470e5212baba6582d6156608bfc
http://arxiv.org/abs/2007.06783
http://arxiv.org/abs/2007.06783