Existence and Uniqueness for Stochastic 2D Euler Flows with Bounded Vorticity

被引：40

作者：

Brzezniak, Zdzislaw ^{[2
]}

Flandoli, Franco ^{[1
]}

Maurelli, Mario ^{[3
]}

机构：

[1] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[3] TUB, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 221卷 / 01期

关键词：

EQUATIONS; DYNAMICS;

D O I：

10.1007/s00205-015-0957-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The strong existence and the pathwise uniqueness of solutions with -vorticity of the 2D stochastic Euler equations are proved. The noise is multiplicative and it involves the first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. The stability under regularizations is also proved.

引用

收藏

页码：107 / 142

页数：36

相关论文

共 50 条

[31] Global Strong Solutions to the Compressible Nematic Liquid Crystal Flows with Large Oscillations and Vacuum in 2D Bounded Domains [J].

Sun, Yimin ;

Zhong, Xin .

JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (10)

[32] Existence and multiplicity of wave trains in 2D lattices [J].

Zhang, Ling ;

Guo, Shangjiang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (03) :759-783

[33] Progresses in the analysis of stochastic 2D cellular automata: A study of asynchronous 2D minority [J].

Regnault, Damien ;

Schabanel, Nicolas ;

Thierry, Eric .

THEORETICAL COMPUTER SCIENCE, 2009, 410 (47-49) :4844-4855

[34] GLOBAL EXISTENCE AND BOUNDEDNESS FOR CHEMOTAXIS-NAVIER-STOKES SYSTEMS WITH POSITION-DEPENDENT SENSITIVITY IN 2D BOUNDED DOMAINS [J].

Ishida, Sachiko .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (08) :3463-3482

[35] Metric-based mesh adaptation for 2D Lagrangian compressible flows [J].

Del Pino, Stephane .

JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (05) :1793-1821

[36] TVD and ENO Applications to Supersonic Flows in 2D [J].

de Goes Maciel, Edisson Savio ;

Pimenta, Amilcar Porto ;

Ferreira, Eduardo Manfredini ;

Mastorakis, Nikos E. .

2014 INTERNATIONAL CONFERENCE ON MATHEMATICS AND COMPUTERS IN SCIENCES AND IN INDUSTRY (MCSI 2014), 2014, :112-134

[37] CFD code comparison for 2D airfoil flows [J].

Sorensen, Niels N. ;

Mendez, B. ;

Munoz, A. ;

Sieros, G. ;

Jost, E. ;

Lutz, T. ;

Papadakis, G. ;

Voutsinas, S. ;

Barakos, G. N. ;

Colonia, S. ;

Baldacchino, D. ;

Baptista, C. ;

Ferreira, C. .

SCIENCE OF MAKING TORQUE FROM WIND (TORQUE 2016), 2016, 753

[38] On a Vlasov-Euler system for 2D sprays with gyroscopic effects [J].

Moussa, Ayman ;

Sueur, Franck .

ASYMPTOTIC ANALYSIS, 2013, 81 (01) :53-91

[39] Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system [J].

Han-Kwan, Daniel ;

Miot, Evelyne ;

Moussa, Ayman ;

Moyano, Ivan .

REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (01) :37-60

[40] Uniqueness of the global weak solutions to 2D compressible primitive equations [J].

Jiu, Quansen ;

Li, Mingjie ;

Wang, Fengchao .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) :1653-1671

← 1 2 3 4 5 →