Uniqueness of the weak solution to the fractional anisotropic Navier-Stokes equations

Sun Xiaochun; Liu Huandi

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Uniqueness of the weak solution to the fractional anisotropic Navier-Stokes equations

机译：分数各向异性Navier-Stokes方程的弱解的唯一性

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摘要

In this work, we demonstrate uniqueness of the weak solution to the fractional anisotropic Navier-Stokes system with only horizontal dissipation.

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来源
《Mathematical Methods in the Applied Sciences》 |2021年第1期|共12页
作者
Sun Xiaochun; Liu Huandi;
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作者单位

Northwest Normal Univ Coll Math &

Stat Lanzhou 730070 Peoples R China;

Northwest Normal Univ Coll Math &

Stat Lanzhou 730070 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
anisotropic dyadic decomposition; fractional anisotropic Navier-Stokes equations; the trilinear estimate; weak solution;

机译：各向异性二元分解;分数各向异性Navier-Stokes方程式;三线性估计;弱解决方案;

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专利

1. EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR TWO-DIMENSIONAL MODIFIED NAVIER-STOKES EQUATIONS [J] . 赵才地微分方程年刊：英文版 . 2004,第004期
2. Existence and Uniqueness of Solutions for a Nonlinear Fractional Integrodifferential Equation with Three-Point Fractional Boundary Conditions [J] . Zhenyu GUO, Min LIU, Zhijing WANG 数学研究及应用：英文版 . 2016,第001期
3. A REMARK ON THE BLOW-UP CRITERION OF STRONG SOLUTIONS AND REGULARITY FOR WEAK SOLUTIONS OF NAVIER-STOKES EQUATIONS [J] . Yuan Jia 偏微分方程：英文版 . 2008,第003期
4. Uniqueness of weak solutions for fractional Navier-Stokes equations [J] . Yong DING, Xiaochun SUN Frontiers of mathematics in China . 2015,第1期

机译：分数阶Navier-Stokes方程弱解的唯一性
5. EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS FOR THE MODIFIED ANISOTROPIC 3D NAVIER-STOKES EQUATIONS [J] . Bessaih Hakima, Trabelsi Saber, Zorgati Hamdi ESAIM. Mathematical modelling and numerical analysis . 2016,第6期

机译：修正的各向异性3D Navier-Stokes方程整体解的存在性和唯一性
6. Anisotropic Regularity Conditions for the Suitable Weak Solutions to the 3D Navier-Stokes Equations [J] . Wang Yanqing, Wu Gang Journal of mathematical fluid mechanics . 2016,第4期

机译：3D Navier-Stokes方程的适当弱解的各向异性正则条件
7. Existence and uniqueness of the weak solution of initial-boundary-value problems for the time-space fractional diffusion equation [C] . Yanhua Wen, Xuanxuan Xi, Jun Wang Youth Academic Annual Conference of Chinese Association of Automation . 2017

机译：时空分数扩散方程初值问题弱解的存在唯一性
8. Solutions for semilinear parabolic equations in L^P and Regularity of Weak Solutions of the Navier-Stokes System利用統計を見る [D] . Giga Yoshikazu 1985

机译：L ^ P中的半线性抛物方程的解和Navier-Stokes系统的弱解的正则性
9. On the Uniform Convergence of the Solutions of the Navier-Stokes Equations [O] . T. Y. Thomas 1943

机译：Navier-Stokes方程解的一致收敛性
10. Anisotropic $L^2$-estimates of weak solutions to the stationary Oseen-type equations in $mathbb{R}^3$ for a rotating body(Kyoto Conference on the Navier-Stokes Equations and their Applications) [O] . Kracmar S., Necasova S., Penel P. 2007

机译：旋转体在$ mathbb {R} ^ 3 $中对平稳Oseen型方程的弱解的各向异性$ L ^ 2 $估计（关于Navier-Stokes方程的京都会议及其应用）
11. Singular Set and the Uniqueness of Weak Solutions of the Navier-Stokes Equations [R] . Sohr, H., Vonwahl, W. 1984

机译：奇异集与Navier-stokes方程弱解的唯一性

Uniqueness of the weak solution to the fractional anisotropic Navier-Stokes equations

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