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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 04期

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

页码：1553 / 1570

页数：18

共 50 条

[41] Deterministic and stochastic asymptotic behavior of nonequilibrium chemical systems with time-dependent rate coefficients
Vlad, MO
Ross, J
JOURNAL OF PHYSICAL CHEMISTRY B, 1997, 101 (43): : 8756 - 8773
[42] Representations of Gaussian Random Fields and Approximation of Elliptic PDEs with Lognormal Coefficients
Bachmayr, Markus
Cohen, Albert
Migliorati, Giovanni
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2018, 24 (03) : 621 - 649
[43] A LOW-RANK APPROXIMATED MULTISCALE METHOD FOR PDES WITH RANDOM COEFFICIENTS
Ou, Na
Lin, Guang
Jiang, Lijian
MULTISCALE MODELING & SIMULATION, 2020, 18 (04): : 1595 - 1620
[44] ON LOCAL FOURIER ANALYSIS OF MULTIGRID METHODS FOR PDEs WITH JUMPING AND RANDOM COEFFICIENTS
Kumar, Prashant
Rodrigo, Carmen
Gaspar, Francisco J.
Oosterlee, Cornelis W.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 41 (03): : A1385 - A1413
[45] Parallel Multilevel Monte Carlo Algorithms for Elliptic PDEs with Random Coefficients
Zakharov, Petr
Iliev, Oleg
Mohring, Jan
Shegunov, Nikolay
LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2019), 2020, 11958 : 463 - 472
[46] Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients
Ma, Dingjiong
Ching, Wai-ki
Zhang, Zhiwen
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 370
[47] Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs
Rabier, PJ
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 193 (02) : 460 - 480
[48] ASYMPTOTIC PROPERTIES OF STOCHASTIC APPROXIMATIONS WITH CONSTANT-COEFFICIENTS
KUSHNER, HJ
HUANG, H
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1981, 19 (01) : 87 - 105
[49] Asymptotic Properties of the Maximum Likelihood Estimator for Stochastic PDEs Disturbed by Small Noise
M. Huebner
Statistical Inference for Stochastic Processes, 1999, 2 (1) : 57 - 68
[50] On asymptotic size distortions in the random coefficients logit model
Ketz, Philipp
JOURNAL OF ECONOMETRICS, 2019, 212 (02) : 413 - 432

← 1 2 3 4 5 →