NAVIER-STOKES EQUATIONS WITH MULTIPLICATIVE NOISE

被引：14

作者：

CAPINSKI, M ^{[1
]}

CUTLAND, NJ ^{[1
]}

机构：

[1] JAGIELLONIAN UNIV,INST MATH,PL-31007 KRAKOW,POLAND

来源：

NONLINEARITY | 1993年 / 6卷 / 01期

关键词：

D O I：

10.1088/0951-7715/6/1/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the methods of non-standard analysis to give a solution to stochastic Navier-Stokes equations in dimension less-than-or-equal-to 4 with noise depending in a specific way on the first-order derivatives of the solution. Uniqueness holds tor the two dimensional case.

引用

页码：71 / 78

页数：8

共 50 条

[41] STOCHASTIC NAVIER-STOKES EQUATIONS
BENSOUSSAN, A
[J]. ACTA APPLICANDAE MATHEMATICAE, 1995, 38 (03) : 267 - 304
[42] Lectures on Navier-Stokes Equations
Kunzinger, M.
[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 195 (04): : 763 - 764
[43] On properties of the Navier-Stokes equations
Zedan, HA
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (2-3) : 287 - 304
[44] Navier-Stokes equations with delays
Caraballo, T
Real, J
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2014): : 2441 - 2453
[45] On modifications of the Navier-Stokes equations
Kobelkov, Georgij M.
[J]. RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2015, 30 (02) : 87 - 93
[46] On the Navier problem for the stationary Navier-Stokes equations
Russo, Antonio
Tartaglione, Alfonsina
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (09) : 2387 - 2408
[47] Navier-Stokes equations with Navier boundary condition
Amrouche, Cherif
Rejaiba, Ahmed
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (17) : 5091 - 5112
[48] On a two-order temporal scheme for Navier-Stokes/Navier-Stokes equations
Li, Wei
Huang, Pengzhan
[J]. APPLIED NUMERICAL MATHEMATICS, 2023, 194 : 1 - 17
[49] Stokes problem for the generalized Navier-Stokes equations
Bourchtein, A
Bourchtein, L
[J]. COMPUTATIONAL SCIENCE-ICCS 2002, PT III, PROCEEDINGS, 2002, 2331 : 813 - 819
[50] On discrete Stokes and Navier-Stokes equations in the plane
Gürlebeck, K
Hommel, A
[J]. CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING, 2004, 34 : 35 - 58

← 1 2 3 4 5 →