28 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. https://doi.org/10.1007/s00205-023-01872-x
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722Banas, 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
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2966978Zhang, 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
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964896Zhang, 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
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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 . https://doi.org/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. https://doi.org/10.1016/j.spa.2021.06.013
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278Röckner, 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
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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. 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. doi:10.1016/j.spa.2014.01.010
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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. https://doi.org/10.1016/j.crma.2010.10.018