PUB - Publikationen an der Universität Bielefeld

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• [29]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225

  M. Hofmanová, R. Zhu, and X. Zhu, “Nonuniqueness in law of stochastic 3D Navier-Stokes equations”, Journal of the European Mathematical Society, vol. 26, 2024, pp. 163-260.

  PUB | DOI | WoS
   
• [28]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254

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

  PUB | DOI | WoS
   
• [27]
  

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

  L. Banas, H. Yang, and R. Zhu, “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”, Potential Analysis , vol. 59, 2022, pp. pages497–518.

  PUB | PDF | DOI | WoS
   
• [26]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966978

  R. Zhang, et al., “DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows”, Physics of Fluids , vol. 34, 2022, : 107112.

  PUB | DOI | WoS
   
• [25]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964896

  X. Zhang, R. Zhu, and X. Zhu, “Singular HJB equations with applications to KPZ on the real line”, Probability Theory and Related Fields, vol. 183, 2022, pp. 789-869.

  PUB | PDF | DOI | WoS
   
• [24]
  

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

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

  PUB | DOI | WoS
   
• [23]
  

  2021 | Preprint | PUB-ID: 2958510

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

  PUB | arXiv | Inspire
   
• [22]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957360

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

  PUB | DOI | WoS
   
• [21]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278

  M. Röckner, H. Yang, and R. Zhu, “Conservative stochastic two-dimensional Cahn–Hilliard equation”, Annals of Applied Probability, vol. 31, 2021, pp. 1336-1375.

  PUB | DOI | WoS
   
• [20]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950201

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

  PUB | DOI | WoS
   
• [19]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134

  M. Röckner, et al., “STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS”, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 52, 2020, pp. 2237-2274.

  PUB | DOI | WoS
   
• [18]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943582

  W. Liu and R. Zhu, “Well-posedness of backward stochastic partial differential equations with Lyapunov condition”, FORUM MATHEMATICUM, vol. 32, 2020, pp. 723-738.

  PUB | DOI | WoS
   
• [17]
  

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

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

  PUB | DOI | WoS
   
• [16]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290

  M. Röckner, et al., “Stochastic heat equations with values in a Riemannian manifold”, Rendiconti Lincei - Matematica e Applicazioni, vol. 29, 2018, pp. 205-213.

  PUB | DOI | WoS
   
• [15]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932420

  T. Ma and R. Zhu, “Wong-Zakai approximation and support theorem for SPDEs with locally monotone coefficients”, Journal of Mathematical Analysis and Applications, vol. 469, 2018, pp. 623-660.

  PUB | DOI | WoS
   
• [14]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931539

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

  PUB | DOI | WoS
   
• [13]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920359

  R. Zhu and X. Zhu, “Lattice approximation to the dynamical $\phi_{3}^{4}$ model”, The Annals of Probability, vol. 46, 2018, pp. 397-455.

  PUB | DOI | WoS
   
• [12]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757

  M. Röckner, R. Zhu, and X. Zhu, “Ergodicity for the Stochastic Quantization Problems on the 2D-Torus”, Communications in Mathematical Physics, vol. 353, 2017, pp. 1061-1090.

  PUB | DOI | WoS
   
• [11]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002

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

  PUB | DOI | WoS
   
• [10]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910508

  R. Zhu and X. Zhu, “Random Attractor Associated with the Quasi-Geostrophic Equation”, Journal of Dynamics and Differential Equations, vol. 29, 2017, pp. 289-322.

  PUB | DOI | WoS
   
• [9]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461

  M. Röckner, R. Zhu, and X. Zhu, “BV functions in a Gelfand triple for differentiable measure and its applications”, Forum Mathematicum, vol. 27, 2015, pp. 1657-1687.

  PUB | DOI | WoS
   
• [8]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2720306

  R. Zhu, “BSDE and generalized Dirichlet forms: The infinite dimensional case”, Forum Mathematicum, vol. 27, 2015, pp. 201-253.

  PUB | DOI | WoS
   
• [7]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627

  M. Röckner, R. Zhu, and X. Zhu, “A note on stochastic semilinear equations and their associated Fokker-Planck equations”, Journal of Mathematical Analysis and Applications, vol. 415, 2014, pp. 83-109.

  PUB | DOI | WoS
   
• [6]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363

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

  PUB | DOI | WoS
   
• [5]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923

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

  PUB | DOI | WoS
   
• [4]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2578816

  R. Zhu, “BSDE and generalized Dirichlet forms: The finite- dimensional case”, Infinite Dimensional Analysis Quantum Probability And Related Topics, vol. 15, 2012, : 1250022.

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756

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

  PUB | DOI | WoS
   
• [2]
  

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

  R. Zhu, 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, 2012.

  PUB | PDF
   
• [1]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087

  M. Röckner, R. Zhu, and X. Zhu, “BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space”, Comptes Rendus Mathematique, vol. 348, 2010, pp. 1175-1178.

  PUB | DOI | WoS