| Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity in Lorentz Space L （2,1） （ R^2） |
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| 引用本文： | 酒全森.Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity in Lorentz Space L （2,1） （ R^2）[J].东北数学,2000,16(3):291-298. |
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| 作者姓名： | 酒全森 |
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| 作者单位： | Department of Mathematics，Capital Normal University，Beijing，100037 |
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| 基金项目： | The Beijing Natural Science Foundation (1992002) and Beijing Education Committee Foundation. |
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| 摘 要： | Some estimates on 2-D Euler equations are given when initial 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 dimensional Euler equations when ωo ∈ L(2, 1).
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| 关 键 词： | 存在性 欧拉方程 弱解 洛伦兹空间 非线性偏微分方程 |
Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity in Lorentz Space L_(2,1)(R~2) |
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| JIU Quan-sen.Existence of Weak Solutions of Two-dimensional Euler Equations with Initial Vorticity in Lorentz Space L_(2,1)(R~2)[J].Northeastern Mathematical Journal,2000,16(3):291-298. |
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| Authors: | JIU Quan-sen |
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| Institution: | DepartmentofMathematics,CapitalNormalUniversity,Beijing,100037 |
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| Abstract: | |
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| Keywords: | existence Euler equations weak solution Lorentz space |
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