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

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

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摘要 Some estimates on 2-D Euler equations are given when initia l vorticity ω0 belongs to a Lorentz space L(2,1). Then based on these estimates, it is proved that there exist global weak solutions of two dim ensional Euler equations when ω0∈L(2,1). Some estimates on 2-D Euler equations are given when initia l vorticity ω0 belongs to a Lorentz space L(2,1). Then based on these estimates, it is proved that there exist global weak solutions of two dim ensional Euler equations when ω0∈L(2,1).

作者酒全森

出处《Northeastern Mathematical Journal》 CSCD 2000年第3期291-298,共8页 东北数学（英文版）

基金 The Beijing Natural Science Foundation (1992002) and Beijing Education Committee Foundation.

关键词 EXISTENCE Euler equations weak solution Lorentz space existence, Euler equations, weak solution, Lorentz space

分类号 O175.29 [理学—基础数学]

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Northeastern Mathematical Journal

2000年第3期

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

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