New Liouville type theorems for the stationary Navier-Stokes, MHD, and Hall-MHD equations

被引：6

作者：

Cho, Youseung ^{[2
]}

Neustupa, Jiri ^{[1
]}

Yang, Minsuk ^{[2
]}

机构：

[1] Czech Acad Sci, Inst Math, Zitna 25, Prague 1, Czech Republic

[2] Yonsei Univ, Dept Math, Yonseiro 50,Seodaemungu, Seoul 03722, South Korea

来源：

NONLINEARITY | 2024年 / 37卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Navier-Stokes equation; MHD equations; Hall-MHD equations; Liouville type theorems; SELF-SIMILAR SOLUTIONS;

D O I：

10.1088/1361-6544/ad1efc

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish new Liouville-type theorems for weak solutions of the stationary Navier-Stokes equations, stationary magnetohydrodynamics (MHD) equations and stationary Hall-MHD equations under some conditions on the growth of certain Lebesgue norms of the velocity and the magnetic field.

引用

页数：22

共 19 条

[1]

Chae D, 2022, Z ANGEW MATH PHYS, V73, DOI 10.1007/s00033-022-01701-3

[2] On the Liouville Type Theorems for Self-Similar Solutions to the Navier-Stokes Equations [J].

Chae, Dongho ;

Wolf, Joerg .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 225 (01) :549-572

[3] On Liouville type theorems for the steady Navier-Stokes equations in R3 [J].

Chae, Dongho ;

Wolf, Joerg .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (10) :5541-5560

[4] Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces [J].

Chamorro, Diego ;

Jarrin, Oscar ;

Lemarie-Rieusset, Pierre-Gilles .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021, 38 (03) :689-710

[5] Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations [J].

Chen, Xiaomeng ;

Li, Shuai ;

Wang, Wendong .

JOURNAL OF NONLINEAR SCIENCE, 2022, 32 (01)

[6] A Liouville-type theorem for the stationary MHD equations [J].

Cho, Youseung ;

Neustupa, Jiri ;

Yang, Minsuk .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 73

[7] On Liouville-type theorems for the 2D stationary MHD equations [J].

De Nitti, Nicola ;

Hounkpe, Francis ;

Schulz, Simon .

NONLINEARITY, 2022, 35 (02) :870-888

[8]

Galdi GP, 2011, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-09620-9

[9]

GIAQUINTA M, 1982, ANN MATH STUD, P3

[10]

Gilbarg D., 1978, Ann. Sc. Norm. Super. Pisa - Cl. Sci, V5

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