ASYMPTOTIC BEHAVIOR OF STOCHASTIC PDES WITH RANDOM COEFFICIENTS

被引:2
|
作者
Da Prato, Giuseppe [1 ]
Debussche, Arnaud [2 ]
机构
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[2] Ecole Normale Super Cachan Bretagne, IRMAR, F-35170 Bruz, France
关键词
Dimension theory; Poincare recurrences; multifractal analysis; NAVIER-STOKES EQUATIONS; ERGODICITY;
D O I
10.3934/dcds.2010.27.1553
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the long time behavior of the solution of a stochastic PDEs with random coefficients assuming that randomness arises in a different independent scale. We apply the obtained results to 2D-Navier-Stokes equations.
引用
收藏
页码:1553 / 1570
页数:18
相关论文
共 50 条
  • [1] Backward doubly stochastic differential equations with random coefficients and quasilinear stochastic PDEs
    Wen, Jiaqiang
    Shi, Yufeng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 476 (01) : 86 - 100
  • [2] Stochastic polynomial chaos based algorithm for solving PDEs with random coefficients
    Shalimova, Irina A.
    Sabelfeld, Karl K.
    MONTE CARLO METHODS AND APPLICATIONS, 2014, 20 (04): : 279 - 289
  • [3] A Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients
    Cheng, Mulin
    Hou, Thomas Y.
    Yan, Mike
    Zhang, Zhiwen
    SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2013, 1 (01): : 452 - 493
  • [4] Explicit cost bounds of stochastic Galerkin approximations for parameterized PDEs with random coefficients
    Dexter, Nick C.
    Webster, Clayton G.
    Zhang, Guannan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (11) : 2231 - 2256
  • [5] Stochastic Burgers PDEs with random coefficients and a generalization of the Cole-Hopf transformation
    Englezos, Nikolaos
    Frangos, Nikolaos E.
    Kartala, Xanthi-Isidora
    Yannacopoulos, Athanasios N.
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (08) : 3239 - 3272
  • [6] A MULTISCALE DATA-DRIVEN STOCHASTIC METHOD FOR ELLIPTIC PDEs WITH RANDOM COEFFICIENTS
    Zhang, Zhiwen
    Ci, Maolin
    Hou, Thomas Y.
    MULTISCALE MODELING & SIMULATION, 2015, 13 (01): : 173 - 204
  • [7] Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
    Beck, Joakim
    Nobile, Fabio
    Tamellini, Lorenzo
    Tempone, Raul
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (04) : 732 - 751
  • [8] An efficient numerical approach for stochastic evolution PDEs driven by random diffusion coefficients and multiplicative noise
    Qi, Xiao
    Azaiez, Mejdi
    Huang, Can
    Xu, Chuanju
    AIMS MATHEMATICS, 2022, 7 (12): : 20684 - 20710
  • [9] Lp-estimates for stochastic PDEs with discontinuous coefficients
    Yoo, H
    STOCHASTIC ANALYSIS AND APPLICATIONS, 1999, 17 (04) : 687 - 711
  • [10] The uniform sparse FFT with application to PDEs with random coefficients
    Kaemmerer, Lutz
    Potts, Daniel
    Taubert, Fabian
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2022, 20 (02):