29 Publikationen

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  • [29]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225
    Hofmanová, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 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, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 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 OA
    Banas, Lubomir, Yang, Huanyu, and Zhu, Rongchan. 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, Rui, Hu, Peiyan, Meng, Qi, Wang, Yue, Zhu, Rongchan, Chen, Bingguang, Ma, Zhi-Ming, and Liu, Tie-Yan. 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 OA
    Zhang, Xicheng, Zhu, Rongchan, and Zhu, Xiangchan. 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, Martina, Zhu, Rongchan, and Zhu, Xiangchan. 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, Hao, Zhu, Rongchan, and Zhu, Xiangchan. 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, Dejun, and Zhu, Rongchan. 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, Michael, Yang, Huanyu, and Zhu, Rongchan. 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, Siyu, Zhang, Ping, and Zhu, Rongchan. 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, Michael, Wu, Bo, Zhu, Rongchan, and Zhu, Xiangchan. 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, Wei, and Zhu, Rongchan. 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, Ting, and Zhu, Rongchan. 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, Michael, Wu, Bo, Zhu, Rongchan, and Zhu, Xiangchan. 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, Ting, and Zhu, Rongchan. 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, Rongchan, and Zhu, Xiangchan. 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, Rongchan, and Zhu, Xiangchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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, Rongchan, and Zhu, Xiangchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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, Rongchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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, Rongchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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 OA
    Zhu, Rongchan. 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, Michael, Zhu, Rongchan, and Zhu, Xiangchan. 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
     

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