The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO

The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO

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摘要 We shall prove that there exists a weak solution to the 2D Euler equations with initial vorticity in BMO and initial velocity in L^∞. We shall prove that there exists a weak solution to the 2D Euler equations with initial vorticity in BMO and initial velocity in L^∞.

作者 Xiang Rong ZHU

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第10期1881-1888,共8页 数学学报（英文版）

基金 Supported by Post Doctor Science Foundation of China(20060400336) NSFC(10571156,10601046) ZJNSF(RC97017)

关键词 Euler equation weak solution BMO Euler equation, weak solution, BMO

分类号 O17 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2007年第10期

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The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO

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