| 二维Euler方程的弱解存在性 |
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| 引用本文： | 酒全森. 二维Euler方程的弱解存在性[J]. 汕头大学学报(自然科学版), 1995, 10(2): 28-35 |
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| 作者姓名： | 酒全森 |
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| 作者单位： | 汕头大学数学所，中国科学院应用数学研究所 |
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| 摘 要： | 本文在初始旋度属于一类较广的Ｏｒｌｉｃｚ函数空间（β＞０）的假设下，证明了二维Ｅｕｌｅｒ方程Ｃａｕｃｈｙ问题弱解的整体存在性，从而推广了［２］，［３］中的结果．且该解是由二维Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的解在粘性消去时得到的．
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| 关 键 词： | 存在性；Euler方程，弱解 |
Existence of weak solutions to 2-D Euler equations |
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| Jiu Quansen. Existence of weak solutions to 2-D Euler equations[J]. Journal of Shantou University(Natural Science Edition), 1995, 10(2): 28-35 |
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| Authors: | Jiu Quansen |
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| Abstract: | In this paper, we prove the existence of global weak solutions to 2-I) Euler equations in R2 under the assumption that the initial vorticity belongs to a kind of wider orlicz spaces L1 . This result improves those of [2] and [3], and our solutions are obtained by vanishing the viscosity term of Navier Stokes equations. |
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| Keywords: | existence Euler equations weak solutions |
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