29 Publikationen
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254Hofmanová, 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. Springer. doi:10.1007/s00205-023-01872-x.
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966978Zhang, 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. American Institute of Physics. doi:10.1063/5.0110342.
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2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2958499Hofmanová, 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 . Wiley. doi:10.1002/cpa.22023.
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957360Luo, 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. Elsevier. doi:10.1016/j.spa.2021.06.013.
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2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2943301Ma, T. & Zhu, R. (2020). Convergence Rate for Galerkin Approximation of the Stochastic Allen-Cahn Equations on 2D Torus. ACTA MATHEMATICA SINICA-ENGLISH SERIES. Springer Heidelberg. doi:10.1007/s10114-020-9367-4.
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2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290Röckner, 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. European Mathematical Soc. doi:10.4171/RLM/801.
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2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932420Ma, 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. Elsevier. doi:10.1016/j.jmaa.2018.09.031.
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002Röckner, 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. Elsevier . doi:10.1016/j.jfa.2017.01.023.
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627Röckner, 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. Elsevier. doi:10.1016/j.jmaa.2014.01.058.
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363Röckner, 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. Elsevier. doi:10.1016/j.spa.2014.01.010.
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2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756Röckner, 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. Institute of Mathematical Statistics. doi:10.1214/11-AOP661.
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2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087Röckner, 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. Elsevier. doi:10.1016/j.crma.2010.10.018.