Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity In Lorentz Space L_(2,1)(R~2)

JIU Quan-sen

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Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity In Lorentz Space L_(2,1)(R~2)

机译：Lorentz空间L_（2,1）（R〜2）中具有初始涡度的二维Euler方程弱解的存在性

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摘要

Some estimates on 2-D Euler equations are given when initial vorticity ω_0 belongs to a Lorentz space L_(2,1). Then based on these estimates, it is proved that there exist global weak Solutions of two dimensional Euler equations when ω_0∈L(2,1).

机译：当初始涡度ω_0属于洛伦兹空间L_（2,1）时，将对二维Euler方程给出一些估计。然后基于这些估计，证明了当ω_0∈L（2,1）时，存在二维的欧拉方程的整体弱解。

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《Northeastern mathematical journal》 |2000年第3期|p.291-298|共8页
作者
JIU Quan-sen;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
existence; Enler equations; weak solution; Lorentz space;

机译：存在;恩勒方程;弱解洛伦兹空间;

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1. Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity in Lorentz Space L （2,1）（ R2） [J] . 酒全森东北数学：英文版 . 2000,第003期

机译：Lorentz空间L（2,1）（R2）中具有初始涡度的二维Euler方程弱解的存在性
2. The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO [J] . Xiang Rong ZHU Acta Mathematica Sinica . 2007,第10期

机译：BMO中具有初始涡度的二维Euler方程弱解的存在性
3. EXISTENCE OF WEAK SOLUTIONS OF 2-D EULER EQUATIONS WITH INITIAL VORTICITY ω_0∈L(log~+ L)~α (α > 0) [J] . JIU QUANSEN Acta Mathematicae Applicatae Sinica . 1996,第2期

机译：初始涡旋为ω_0∈L（log〜+ L）〜α（α> 0）的二维EULER方程的弱解的存在性
4. 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边值问题的弱解的存在和唯一性
5. On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations. [D] . Wu, Yilun. 2014

机译：关于Euler-Poisson方程的旋转星解的存在性和性质。
6. Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces [O] . Mian Bahadur Zada, Muhammad Sarwar, Stojan Radenović -1

机译：通过定点存在非线性积分方程组的唯一公共解会导致度量空间不完整
7. GLOBAL EXISTENCE OF A WEAK SOLUTION OF THE INCOMPRESSIBLE EULER EQUATIONS WITH HELICAL SYMMETRY AND Lp VORTICITY [O] . A. C. Bronzi, M. C. Lopes Filho, H. J. Nussenzveig Lopes 2016

机译：具有螺旋对称性和Lp涡度的不可压缩Euler方程弱解的全局存在性
8. Numerical solutions of the linearized Euler equations for unsteady vortical flows around lifting airfoils [R] . Scott, James R., Atassi, Hafiz M. 1990

机译：提升翼型周围非定常涡旋线性化欧拉方程的数值解

Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity In Lorentz Space L_(2,1)(R~2)

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