28 Publikationen

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  • [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. https://doi.org/10.1007/s00205-023-01872-x
    PUB | DOI | WoS
     
  • [27]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722 OA
    Banas, L., Yang, H., & Zhu, R. (2022). Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis , 59, pages497–518. https://doi.org/10.1007/s11118-021-09976-3
    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., et al. (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. https://doi.org/10.1063/5.0110342
    PUB | DOI | WoS
     
  • [25]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964896 OA
    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. https://doi.org/10.1007/s00440-022-01137-w
    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 . https://doi.org/10.1002/cpa.22023
    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. https://doi.org/10.1016/j.spa.2021.06.013
    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. https://doi.org/10.1214/20-AAP1620
    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. doi:10.1016/j.jde.2020.11.028
    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. doi:10.1137/18M1211076
    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. doi:10.1515/forum-2019-0227
    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. doi:10.1007/s10114-020-9367-4
    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. doi:10.4171/RLM/801
    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. doi:10.1016/j.jmaa.2018.09.031
    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. doi:10.1214/18-EJP207
    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. doi:10.1214/17-AOP1188
    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. doi:10.1007/s00220-017-2865-2
    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. doi:10.1016/j.jfa.2017.01.023
    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. doi:10.1007/s10884-016-9537-3
    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. doi:10.1515/forum-2012-0137
    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. doi:10.1515/forum-2012-0007
    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. doi:10.1016/j.jmaa.2014.01.058
    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. doi:10.1016/j.spa.2014.01.010
    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. doi:10.1142/S0219025712500014
    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. doi:10.1142/S0219025712500221
    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. doi:10.1214/11-AOP661
    PUB | DOI | WoS
     
  • [2]
    2012 | Bielefelder E-Dissertation | PUB-ID: 2484724 OA
    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. https://doi.org/10.1016/j.crma.2010.10.018
    PUB | DOI | WoS
     

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