Xiangchan Zhu

发表

Sub- and supercritical stochastic quasi-geostrophic equation

Rongchan Zhu, Xiangchan Zhu, Michael Rockner, 2011, 1110.1984.

STOCHASTIC QUASI-GEOSTROPHIC EQUATION

M. Rockner, Rongchan Zhu, Xiangchan Zhu, 2011, 1108.4896.

Large Deviation Principle for the Two-dimensional Stochastic Navier-Stokes Equations with Anisotropic Viscosity

Xiangchan Zhu, Bingguang Chen, Bing-guang Chen, 2020, Acta Mathematicae Applicatae Sinica, English Series.

A stochastic analysis approach to lattice Yang--Mills at strong coupling

Hao Shen, Rongchan Zhu, Xiangchan Zhu, 2022, 2204.12737.

Stochastic Heat Equations with Values in a Riemannian Manifold

M. Rockner, Rongchan Zhu, Xiangchan Zhu, 2017, 1706.05979.

A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity

M. Hofmanová, Rongchan Zhu, Xiangchan Zhu, 2022, 2205.13378.

Large deviation principles for the stochastic quasi-geostrophic equations

Wei Liu, Xiangchan Zhu, Michael Rockner, 2012, 1204.6417.

Dirichlet form associated with the Φ 43 model *

Rongchan Zhu, Xiangchan Zhu, 2018 .

Sharp non-uniqueness of solutions to stochastic Navier-Stokes equations

Z. Dong, Xiangchan Zhu, Weiquan Chen, 2022, 2208.08321.

Approximating 3D Navier–Stokes equations driven by space-time white noise

Rongchan Zhu, Xiangchan Zhu, 2017 .

Large N Limit of the O(N) Linear Sigma Model in 3D

Hao Shen, Rongchan Zhu, Xiangchan Zhu, 2021, Communications in Mathematical Physics.

Lattice approximation to the dynamical $\Phi_3^4$ model

Rongchan Zhu, Xiangchan Zhu, 2015, 1508.05613.

Piecewise linear approximation for the dynamical $$\Phi_3^4$$Φ34 model

Rongchan Zhu, Xiangchan Zhu, 2015, Science China Mathematics.

Global-in-time probabilistically strong solutions to stochastic power-law equations: Existence and non-uniqueness

Xiangchan Zhu, Huaxiang Lu, Huaxiang Lu, 2022, Stochastic Processes and their Applications.

Random Attractor Associated with the Quasi-Geostrophic Equation

Rongchan Zhu, Xiangchan Zhu, 2016, Journal of Dynamics and Differential Equations.

Ergodicity for the Stochastic Quantization Problems on the 2D-Torus

M. Röckner, Rongchan Zhu, Xiangchan Zhu, 2017, Communications in Mathematical Physics.

Random Attractor Associated with the Quasi-Geostrophic Equation

Rongchan Zhu, Xiangchan Zhu, 2013, 1303.5970.

Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions

M. Rockner, Rongchan Zhu, Xiangchan Zhu, 2014, 1407.6563.

Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise

Rongchan Zhu, Xiangchan Zhu, Michael Rockner, 2013, 1307.4392.

SDE in infinite dimensions: the reflection problem and the stochastic quasi-geostrophic equation

Xiangchan Zhu, 2012 .

On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations

Rongchan Zhu, Xiangchan Zhu, Martina Hofmanov'a, 2020, Communications on Pure and Applied Mathematics.

Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise

Rongchan Zhu, Xiangchan Zhu, 2014 .

SDEs with singular drifts and multiplicative noise on general space-time domains

M. Rockner, Xiangchan Zhu, Chengcheng Ling, 2019, 1910.03989.

The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple

M. Rockner, Rongchan Zhu, Xiangchan Zhu, 2010, 1011.3996.

Large $N$ Limit of the $O(N)$ Linear Sigma Model via Stochastic Quantization

Scott A. Smith, Hao Shen, Xiangchan Zhu, 2020, 2005.09279.

Singular HJB equations with applications to KPZ on the real line

Rongchan Zhu, Xicheng Zhang, Xiangchan Zhu, 2020, Probability Theory and Related Fields.

On notions of harmonicity for non-symmetric Dirichlet form

Zhi-Ming Ma, Rongchan Zhu, Xiangchan Zhu, 2010 .

Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness

Rongchan Zhu, Xiangchan Zhu, Martina Hofmanov'a, 2021, The Annals of Probability.

Three-dimensional Navier-Stokes equations driven by space-time white noise

Rongchan Zhu, Xiangchan Zhu, 2014, 1406.0047.

Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise

Rongchan Zhu, Xiangchan Zhu, Martina Hofmanov'a, 2023, 2308.14358.

Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations

Rongchan Zhu, Xiangchan Zhu, Martina Hofmanov'a, 2022, 2208.08290.

A class of supercritical/critical singular stochastic PDEs: Existence, non-uniqueness, non-Gaussianity, non-unique ergodicity

M. Hofmanová, Rongchan Zhu, Xiangchan Zhu, 2022, Journal of Functional Analysis.

Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise

Martina Hofmanov'a, Rongchan Zhu, Xiangchan Zhu, 2021, Archive for Rational Mechanics and Analysis.

Non-uniqueness in law of stochastic 3D Navier--Stokes equations

Rongchan Zhu, Xiangchan Zhu, Martina Hofmanov'a, 2019, 1912.11841.

Anomalous and total dissipation due to advection by solutions of randomly forced Navier-Stokes equations

Rongchan Zhu, Xiangchan Zhu, Umberto Pappalettera, 2023, 2305.08090.

Sharp Non-uniqueness of Solutions to 2D Navier-Stokes Equations with Space-Time White Noise

Xiangchan Zhu, Huaxiang Lu, 2023, 2304.06526.

Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations

Rongchan Zhu, Xiangchan Zhu, Martina Hofmanov'a, 2023, 2309.03668.

Kolmogorov $4/5$ law for the forced 3D Navier-Stokes equations

Rongchan Zhu, Xiangchan Zhu, Umberto Pappalettera, 2023, 2304.14470.

BV functions in a Gelfand triple for differentiable measure and its applications

M. Rockner, Rongchan Zhu, Xiangchan Zhu, 2012, 1209.2980.

Lattice approximation to the dynamical Φ 43 model ∗

Rongchan Zhu, Xiangchan Zhu, 2016 .

A Stochastic Analysis Approach to Lattice Yang–Mills at Strong Coupling

Hao Shen, Rongchan Zhu, Xiangchan Zhu, 2022, Communications in Mathematical Physics.

Ergodicity for the Stochastic Quantization Problems on the 2D-Torus

M. Röckner, Rongchan Zhu, Xiangchan Zhu, 2016, 1606.02102.

PR ] 2 3 A ug 2 01 5 Lattice approximation to the dynamical Φ 43 model ∗

Rongchan Zhu, Xiangchan Zhu, Rongchan Zhu, 2015 .

An SPDE approach to perturbation theory of $\Phi^4_2$: asymptoticity and short distance behavior

Hao Shen, Rongchan Zhu, Xiangchan Zhu, 2021, 2108.11312.