PUB - Publikationen an der Universität Bielefeld

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• [29]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225

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

  PUB | DOI | WoS
   
• [28]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254

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

  PUB | DOI | WoS
   
• [27]
  

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

  Banas, L., Yang, H., and 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., and 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 34:107112.

  PUB | DOI | WoS
   
• [25]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964896

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

  PUB | PDF | DOI | WoS
   
• [24]
  

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

  Hofmanová, M., Zhu, R., and 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., and 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., and 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., and Zhu, R. (2021). Conservative stochastic two-dimensional Cahn–Hilliard equation. Annals of Applied Probability 31, 1336-1375.

  PUB | DOI | WoS
   
• [20]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950201

  Liang, S., Zhang, P., and 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., and Zhu, X. (2020). STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS 52, 2237-2274.

  PUB | DOI | WoS
   
• [18]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943582

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

  PUB | DOI | WoS
   
• [17]
  

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

  Ma, T., and 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., and Zhu, X. (2018). Stochastic heat equations with values in a Riemannian manifold. Rendiconti Lincei - Matematica e Applicazioni 29, 205-213.

  PUB | DOI | WoS
   
• [15]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932420

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

  PUB | DOI | WoS
   
• [14]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931539

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

  PUB | DOI | WoS
   
• [12]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757

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

  PUB | DOI | WoS
   
• [11]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002

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

  PUB | DOI | WoS
   
• [10]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910508

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

  PUB | DOI | WoS
   
• [9]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461

  Röckner, M., Zhu, R., and Zhu, X. (2015). BV functions in a Gelfand triple for differentiable measure and its applications. Forum Mathematicum 27, 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, 201-253.

  PUB | DOI | WoS
   
• [7]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627

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

  PUB | DOI | WoS
   
• [6]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363

  Röckner, M., Zhu, R., and 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, 1974-2002.

  PUB | DOI | WoS
   
• [5]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923

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

  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 15:1250022.

  PUB | DOI | WoS
   
• [3]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756

  Röckner, M., Zhu, R., and 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, 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., and 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, 1175-1178.

  PUB | DOI | WoS