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