2-D Euler equation perturbed by noise

被引：39

作者：

Bessaih, Hakima ^{[1
]}

Flandoli, Franco ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[2] Dipartimento Matemat Applicata, I-56126 Pisa, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1999年 / 6卷 / 01期

关键词：

Euler Equation; Uniqueness Result; Stochastic Perturbation; Spatial Regularity;

D O I：

10.1007/s000300050063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A 2-dimensional Euler equations subject to a stochastic perturbation (a noise) is investigated. An existence and uniqueness result is proved with some assumptions of spatial regularity on the noise.

引用

页码：35 / 54

页数：20

共 20 条

[1] Adams A, 2003, SOBOLEV SPACES
[2] GLOBAL FLOWS WITH INVARIANT (GIBBS) MEASURES FOR EULER AND NAVIER-STOKES 2-DIMENSIONAL FLUIDS
ALBEVERIO, S
CRUZEIRO, AB
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (03) : 431 - 444
[3] EXISTENCE AND UNIQUENESS OF SOLUTION TO BIDIMENSIONAL EULER EQUATION
BARDOS, C
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 40 (03) : 769 - 790
[4] Bensoussan A., 1973, J. Funct. Anal, V13, P195, DOI [10.1016/0022-1236(73)90045-1, DOI 10.1016/0022-1236(73)90045-1]
[5] BESSAIH H., 1997, 22 SCUOL NORM SUP PI
[6] BESSAIH H., 1997, PREPRINT
[7] BRZERNIAK Z., UNPUB
[8] STOCHASTIC-EQUATIONS IN HILBERT-SPACE WITH APPLICATION TO NAVIER-STOKES EQUATIONS IN ANY DIMENSION
CAPINSKI, M
GATAREK, D
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 126 (01) : 26 - 35
[9] ATTRACTORS FOR RANDOM DYNAMICAL-SYSTEMS
CRAUEL, H
FLANDOLI, F
[J]. PROBABILITY THEORY AND RELATED FIELDS, 1994, 100 (03) : 365 - 393
[10] Da Prato G, 1992, STOCHASTIC EQUATIONS

← 1 2 →