Rongchan Zhu

发表

Weak solutions to the sharp interface limit of stochastic Cahn-Hilliard equations

Huanyu Yang, Rongchan Zhu, 2019, 1905.09182.

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.

Well-posedness of backward stochastic partial differential equations with Lyapunov condition

Wei Liu, Rongchan Zhu, 2019, Forum Mathematicum.

Convergence Rate for Galerkin Approximation of the Stochastic Allen—Cahn Equations on 2D Torus pdf

Rongchan Zhu, Ting Ma, Rongchan Zhu, 2019, Acta Mathematica Sinica, English Series.

PR ] 2 5 A ug 2 01 9 Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2 D torus

Rongchan Zhu, Ting Ma, 2019 .

N EURAL O PERATOR WITH R EGULARITY S TRUCTURE FOR M ODELING D YNAMICS D RIVEN BY SPDE S

Yue Wang, Wei Chen, Qi Meng, 2022 .

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.

Conservative stochastic 2-dimensional Cahn-Hilliard equation

M. Rockner, Huanyu Yang, Rongchan Zhu, 2018, 1802.04141.

Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations

Yue Wang, Zhi-Ming Ma, Qi Meng, 2022, ArXiv.

DRVN (Deep Random Vortex Network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows

Yue Wang, Zhi-Ming Ma, Qi Meng, 2022, Physics of Fluids.

Dirichlet form associated with the Φ 43 model *

Rongchan Zhu, Xiangchan Zhu, 2018 .

Mean-field limit of Non-exchangeable interacting diffusions with singular kernels

Rongchan Zhu, Zhenfu Wang, Xianliang Zhao, 2022, 2209.14002.

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.

Mean-field limit of Non-exchangeable interacting diffusions with singular kernels

Rongchan Zhu, Zhenfu Wang, Xianliang Zhao, 2022, 2209.14002.

Convergence Rate for Galerkin Approximation of the Stochastic Allen—Cahn Equations on 2D Torus

Rongchan Zhu, Ting Ma, 2020, Acta Mathematica Sinica, English Series.

Random Attractor Associated with the Quasi-Geostrophic Equation

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

Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs

Yue Wang, Wei Chen, Qi Meng, 2022, ArXiv.

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 and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation

Rongchan 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 .

Monte Carlo Neural Operator for Learning PDEs via Probabilistic Representation

Yue Wang, Zhi-Ming Ma, Qi Meng, 2023, ArXiv.

Wong–Zakai approximation and support theorem for SPDEs with locally monotone coefficients

Rongchan Zhu, Ting Ma, 2019, Journal of Mathematical Analysis and Applications.

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.

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.

Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity

Ping Zhang, Rongchan Zhu, Siyu Liang, 2018, Journal of Differential Equations.

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.

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.

Gaussian Fluctuations for Interacting Particle Systems with Singular Kernels

Rongchan Zhu, Zhenfu Wang, Xianliang Zhao, 2021, Archive for Rational Mechanics and Analysis.

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 .

Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise

Rongchan Zhu, Huanyu Yang, Ľubomír Baňas, 2019, Potential Analysis.

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 .

Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation

Yue Wang, Zhi-Ming Ma, Qi Meng, 2023, 2302.05104.

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

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

BSDE and generalized Dirichlet forms: the infinite dimensional case

Rongchan Zhu, 2012, 1201.3186.

Deep Latent Regularity Network for Modeling Stochastic Partial Differential Equations

Yue Wang, Qi Meng, Rongchan Zhu, 2023, AAAI.