个人简介

朱湘禅,女,

研究方向

随机偏微分方程
奇异随机偏微分方程,随机量子化方程,KPZ方程,随机反射问题,随机Navier-Stokes方程,随机欧拉方程
随机分析
狄氏型

学术论文

  1. Stochastic heat equation for infinite string with values in manifold

    X. Chen, B. Wu, R. Zhu, X. Zhu, arXiv:1812.01942 . To appear in Transactions of the American Mathematical Society

  2. Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms

    M. Rockner, B. Wu, R. Zhu, X. Zhu, SIAM J. Math. Anal., 52(3):2237-2274, 2020.

  3. Piecewise linear approximation for the dynamical Φ43 model

    R. Zhu, X. Zhu, Sci China Math, 2020, 63: 381-410.

  4. A remark on global solutions to random 3D vorticity equations for small initial data,

    M. R¨ockner, R. Zhu, X. Zhu, DCDS-B 2019, 24(8): 4021-4030.

  5. Lattice approximation to the dynamical Φ43 model, Ann. Probab. 46 (2018), no. 1, 397-455.

    R. Zhu, X. Zhu, Ann. Probab. 46 (2018), no. 1, 397-455.

  6. Dirichlet form associated with the Φ43 model

    R. Zhu, X. Zhu, Electron. J. Probab. 23 (2018), no. 78, 1-31.

  7. Random attractor associated with the quasi-geostrophic equation

    R. Zhu, X. Zhu, Journal of Dynamical and Differential Equations, 29,1, 289–322, (2017)

  8. Restricted Markov uniqueness for the stochastic quantization of P(Φ)2 and its applications,

    M. R¨ockner, R. Zhu, X. Zhu, J. Funct. Anal. (2017), 272 (10), 4263-4303.

  9. Ergodicity for the stochastic quantization problems on the 2D-torus,

    M. R¨ockner, R. Zhu, X. Zhu, Comm. Math. Phys., 352 (3) 1061–1090, 2017.

  10. Approximating three-dimensional Navier-Stokes equations driven by spacetime white noise,

    R. Zhu, X. Zhu, IDAQP, 20 (2017), no. 4, 1750020, 77 pp.

  11. Three-dimensional Navier-Stokes equations driven by space-time white noise

    R. Zhu, X. Zhu, Journal of Differential Equations , 259, 9, 5, 2015, 4443–4508.

  12. Sub- and supercritical stochastic quasi-geostrophic equation

    M. Rockner, R. Zhu, X. Zhu, The Annals of Probability, (2015), 43 (3), 1202–1273.

  13. Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions,

    M. R¨ockner, R. Zhu, X. Zhu, Nonlinear Analysis: Theory, Methods Applications 125, (2015), 358–397.

  14. BV functions in a Gelfand triple for differentiable measure and its applications,

    M. Rockner, R. Zhu, X. Zhu, Forum Mathematicum. 27, 3,(2015) 1657–1687

  15. Martingale solutions for stochastic active scalar equations perturbed by nontrace class noise,

    R. Zhu, X. Zhu, IDAQP, 17, 2 (2014) (32 pages)

  16. Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise

    M. Rockner, R. Zhu, X. Zhu, Stochastic Processes and their Applications 124(5) (2014), 1974–2002

  17. A note on stochastic semilinear equations and their associated Fokker-Planck equations,

    M. Rockner, R. Zhu, X. Zhu, J. Math. Anal. Appl. 415(1) (2014), 83–109.

  18. Large deviation principles for the stochastic quasi-geostrophic equation

    W. Liu, M. R¨ockner, X. Zhu, Stoch. Proc. Appl. 123(8) (2013), 3299–3327.

  19. The stochastic reflection problem on a convex set of a Hilbert space and BV functions in a Gelfand triple

    M. Rockner, R. Zhu, X. Zhu, The Annals of Probability 40(4) (2012), 1759–1794

  20. BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space

    M. Rockner, R. Zhu, X. Zhu, Comptes Rendus Mathematique 348(21–22) (2010), 1175–1178.

  21. On notions of harmonicity for non-symmetric Dirichlet form

    Z. Ma, R. Zhu, X. Zhu, Science China Mathematics 53(6) (2010), 1407–1420


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