30 Publikationen
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225Nonuniqueness in law of stochastic 3D Navier-Stokes equationsPUB | DOI | WoS
Hofmanová M, Zhu R, Zhu X (2024)
Journal of the European Mathematical Society 26(1): 163-260. -
2023 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2993099Deep Latent Regularity Network for Modeling Stochastic Partial Differential EquationsPUB | DOI | WoS
Gong S, Hu P, Meng Q, Wang Y, Zhu R, Chen B, Ma Z, Ni H, Liu T-Y (2023)
Proceedings of the AAAI Conference on Artificial Intelligence 37(6): 7740-7747. -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254Global Existence and Non-Uniqueness for 3D Navier-Stokes Equations with Space-Time White NoisePUB | DOI | WoS
Hofmanová M, Zhu R, Zhu X (2023)
Archive for Rational Mechanics and Analysis 247(3): 46. -
2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722
Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular NoisePUB | PDF | DOI | WoS
Banas L, Yang H, Zhu R (2022)
Potential Analysis 59: pages497–518. -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966978DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flowsPUB | DOI | WoS
Zhang R, Hu P, Meng Q, Wang Y, Zhu R, Chen B, Ma Z-M, Liu T-Y (2022)
Physics of Fluids 34(10): 107112. -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964896
Singular HJB equations with applications to KPZ on the real linePUB | PDF | DOI | WoS
Zhang X, Zhu R, Zhu X (2022)
Probability Theory and Related Fields 183(3-4): 789-869. -
2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2958499On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler EquationsPUB | DOI | WoS
Hofmanová M, Zhu R, Zhu X (2021)
Communications on Pure and Applied Mathematics . -
2021 | Preprint | PUB-ID: 2958510An SPDE approach to perturbation theory of $Φ^4_2$: asymptoticity and short distance behaviorPUB | arXiv | Inspire
Shen H, Zhu R, Zhu X (2021)
arXiv:2108.11312. -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957360Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limitPUB | DOI | WoS
Luo D, Zhu R (2021)
Stochastic Processes and their Applications 140: 236-286. -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278Conservative stochastic two-dimensional Cahn–Hilliard equationPUB | DOI | WoS
Röckner M, Yang H, Zhu R (2021)
Annals of Applied Probability 31(3): 1336-1375. -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950201Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosityPUB | DOI | WoS
Liang S, Zhang P, Zhu R (2021)
Journal of Differential Equations 275: 473-508. -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMSPUB | DOI | WoS
Röckner M, Wu B, Zhu R, Zhu X (2020)
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 52(3): 2237-2274. -
2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943582Well-posedness of backward stochastic partial differential equations with Lyapunov conditionPUB | DOI | WoS
Liu W, Zhu R (2020)
FORUM MATHEMATICUM 32(3): 723-738. -
2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943301Convergence Rate for Galerkin Approximation of the Stochastic Allen-Cahn Equations on 2D TorusPUB | DOI | WoS
Ma T, Zhu R (2020)
ACTA MATHEMATICA SINICA-ENGLISH SERIES. -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290Stochastic heat equations with values in a Riemannian manifoldPUB | DOI | WoS
Röckner M, Wu B, Zhu R, Zhu X (2018)
Rendiconti Lincei - Matematica e Applicazioni 29(1): 205-213. -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932420Wong-Zakai approximation and support theorem for SPDEs with locally monotone coefficientsPUB | DOI | WoS
Ma T, Zhu R (2018)
Journal of Mathematical Analysis and Applications 469(2): 623-660. -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931539Dirichlet form associated with the $\phi_{3}^{4}$ modelPUB | DOI | WoS
Zhu R, Zhu X (2018)
Electronic Journal of Probability 23: 78. -
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920359Lattice approximation to the dynamical $\phi_{3}^{4}$ modelPUB | DOI | WoS
Zhu R, Zhu X (2018)
The Annals of Probability 46(1): 397-455. -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757Ergodicity for the Stochastic Quantization Problems on the 2D-TorusPUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2017)
Communications in Mathematical Physics 353(3): 1061-1090. -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applicationsPUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2017)
Journal of Functional Analysis 272(10): 4263-4303. -
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910508Random Attractor Associated with the Quasi-Geostrophic EquationPUB | DOI | WoS
Zhu R, Zhu X (2017)
Journal of Dynamics and Differential Equations 29(1): 289-322. -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461BV functions in a Gelfand triple for differentiable measure and its applicationsPUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2015)
Forum Mathematicum 27(3): 1657-1687. -
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2720306BSDE and generalized Dirichlet forms: The infinite dimensional casePUB | DOI | WoS
Zhu R (2015)
Forum Mathematicum 27(1): 201-253. -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627A note on stochastic semilinear equations and their associated Fokker-Planck equationsPUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2014)
Journal of Mathematical Analysis and Applications 415(1): 83-109. -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noisePUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2014)
Stochastic Processes and their Applications 124(5): 1974-2002. -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923STOCHASTIC QUASI-GEOSTROPHIC EQUATIONPUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2012)
Infinite Dimensional Analysis Quantum Probability and Related Topics 15(1): 1250001. -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2578816BSDE and generalized Dirichlet forms: The finite- dimensional casePUB | DOI | WoS
Zhu R (2012)
Infinite Dimensional Analysis Quantum Probability And Related Topics 15(4): 1250022. -
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triplePUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2012)
The Annals of Probability 40(4): 1759-1794. -
2012 | Bielefelder E-Dissertation | PUB-ID: 2484724
SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equationPUB | PDF
Zhu R (2012)
Bielefeld: Bielefeld University. -
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert spacePUB | DOI | WoS
Röckner M, Zhu R, Zhu X (2010)
Comptes Rendus Mathematique 348(21-22): 1175-1178.