PUB - Publikationen an der Universität Bielefeld

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• [29]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225

  Hofmanová M, Zhu R, Zhu X (2024)
  Nonuniqueness in law of stochastic 3D Navier-Stokes equations.
  Journal of the European Mathematical Society 26(1): 163-260.

  PUB | DOI | WoS
   
• [28]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254

  Hofmanová M, Zhu R, Zhu X (2023)
  Global Existence and Non-Uniqueness for 3D Navier-Stokes Equations with Space-Time White Noise.
  Archive for Rational Mechanics and Analysis 247(3): 46.

  PUB | DOI | WoS
   
• [27]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722

  Banas L, Yang H, Zhu R (2022)
  Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise.
  Potential Analysis 59: pages497–518.

  PUB | PDF | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966978

  Zhang R, Hu P, Meng Q, Wang Y, Zhu R, Chen B, Ma Z-M, Liu T-Y (2022)
  DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows.
  Physics of Fluids 34(10): 107112.

  PUB | DOI | WoS
   
• [25]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964896

  Zhang X, Zhu R, Zhu X (2022)
  Singular HJB equations with applications to KPZ on the real line.
  Probability Theory and Related Fields 183(3-4): 789-869.

  PUB | PDF | DOI | WoS
   
• [24]
  

  2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2958499

  Hofmanová M, Zhu R, Zhu X (2021)
  On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations.
  Communications on Pure and Applied Mathematics .

  PUB | DOI | WoS
   
• [23]
  

  2021 | Preprint | PUB-ID: 2958510

  Shen H, Zhu R, Zhu X (2021)
  An SPDE approach to perturbation theory of $Φ^4_2$: asymptoticity and short distance behavior.
  arXiv:2108.11312.

  PUB | arXiv | Inspire
   
• [22]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957360

  Luo D, Zhu R (2021)
  Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit.
  Stochastic Processes and their Applications 140: 236-286.

  PUB | DOI | WoS
   
• [21]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278

  Röckner M, Yang H, Zhu R (2021)
  Conservative stochastic two-dimensional Cahn–Hilliard equation.
  Annals of Applied Probability 31(3): 1336-1375.

  PUB | DOI | WoS
   
• [20]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950201

  Liang S, Zhang P, Zhu R (2021)
  Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity.
  Journal of Differential Equations 275: 473-508.

  PUB | DOI | WoS
   
• [19]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134

  Röckner M, Wu B, Zhu R, Zhu X (2020)
  STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS.
  SIAM JOURNAL ON MATHEMATICAL ANALYSIS 52(3): 2237-2274.

  PUB | DOI | WoS
   
• [18]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943582

  Liu W, Zhu R (2020)
  Well-posedness of backward stochastic partial differential equations with Lyapunov condition.
  FORUM MATHEMATICUM 32(3): 723-738.

  PUB | DOI | WoS
   
• [17]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943301

  Ma T, Zhu R (2020)
  Convergence Rate for Galerkin Approximation of the Stochastic Allen-Cahn Equations on 2D Torus.
  ACTA MATHEMATICA SINICA-ENGLISH SERIES.

  PUB | DOI | WoS
   
• [16]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290

  Röckner M, Wu B, Zhu R, Zhu X (2018)
  Stochastic heat equations with values in a Riemannian manifold.
  Rendiconti Lincei - Matematica e Applicazioni 29(1): 205-213.

  PUB | DOI | WoS
   
• [15]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932420

  Ma T, Zhu R (2018)
  Wong-Zakai approximation and support theorem for SPDEs with locally monotone coefficients.
  Journal of Mathematical Analysis and Applications 469(2): 623-660.

  PUB | DOI | WoS
   
• [14]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931539

  Zhu R, Zhu X (2018)
  Dirichlet form associated with the $\phi_{3}^{4}$ model.
  Electronic Journal of Probability 23: 78.

  PUB | DOI | WoS
   
• [13]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920359

  Zhu R, Zhu X (2018)
  Lattice approximation to the dynamical $\phi_{3}^{4}$ model.
  The Annals of Probability 46(1): 397-455.

  PUB | DOI | WoS
   
• [12]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757

  Röckner M, Zhu R, Zhu X (2017)
  Ergodicity for the Stochastic Quantization Problems on the 2D-Torus.
  Communications in Mathematical Physics 353(3): 1061-1090.

  PUB | DOI | WoS
   
• [11]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002

  Röckner M, Zhu R, Zhu X (2017)
  Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications.
  Journal of Functional Analysis 272(10): 4263-4303.

  PUB | DOI | WoS
   
• [10]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910508

  Zhu R, Zhu X (2017)
  Random Attractor Associated with the Quasi-Geostrophic Equation.
  Journal of Dynamics and Differential Equations 29(1): 289-322.

  PUB | DOI | WoS
   
• [9]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461

  Röckner M, Zhu R, Zhu X (2015)
  BV functions in a Gelfand triple for differentiable measure and its applications.
  Forum Mathematicum 27(3): 1657-1687.

  PUB | DOI | WoS
   
• [8]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2720306

  Zhu R (2015)
  BSDE and generalized Dirichlet forms: The infinite dimensional case.
  Forum Mathematicum 27(1): 201-253.

  PUB | DOI | WoS
   
• [7]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627

  Röckner M, Zhu R, Zhu X (2014)
  A note on stochastic semilinear equations and their associated Fokker-Planck equations.
  Journal of Mathematical Analysis and Applications 415(1): 83-109.

  PUB | DOI | WoS
   
• [6]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363

  Röckner M, Zhu R, Zhu X (2014)
  Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise.
  Stochastic Processes and their Applications 124(5): 1974-2002.

  PUB | DOI | WoS
   
• [5]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923

  Röckner M, Zhu R, Zhu X (2012)
  STOCHASTIC QUASI-GEOSTROPHIC EQUATION.
  Infinite Dimensional Analysis Quantum Probability and Related Topics 15(1): 1250001.

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2578816

  Zhu R (2012)
  BSDE and generalized Dirichlet forms: The finite- dimensional case.
  Infinite Dimensional Analysis Quantum Probability And Related Topics 15(4): 1250022.

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756

  Röckner M, Zhu R, Zhu X (2012)
  The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple.
  The Annals of Probability 40(4): 1759-1794.

  PUB | DOI | WoS
   
• [2]
  

  2012 | Bielefelder E-Dissertation | PUB-ID: 2484724

  Zhu R (2012)
  SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation.
  Bielefeld: Bielefeld University.

  PUB | PDF
   
• [1]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087

  Röckner M, Zhu R, Zhu X (2010)
  BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space.
  Comptes Rendus Mathematique 348(21-22): 1175-1178.

  PUB | DOI | WoS