| STABLE AND UNSTABLE IDEAL PLANE FLOWS |
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| 作者姓名： | C. BARDOS Y. GUO W. STRAUSS |
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| 作者单位： | Universite，Ｄｉｖｉｓｉｏｎ，Ｄｅｐａｒｔｍｅｎｔ Denis Diderot and LAN Universite Pierre，et Marie Curie，Paris，France.，ｏｆ Ａｐｐｌｉｅｄ Ｍａｔｈｅｍａｔｉｃｓ，Ｂｒｏｗｎ Ｕｎｉｖｅｒｓｉｔｙ，Ｐｒｏｖｉｄｅｎｃｅ，Ｒｈｏｄｅ Ｉｓｌａｎｄ ０２９１２，Ｕ |
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| 摘 要： | IntroductionWe COnsider SOllltlollS
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| 关 键 词： | 理想平面流 稳定性 Liapunov指数 Euler方程 旋度 解 平均域方程 熵泛函 自助法 |
| 收稿时间： | 1931/10/1 0:00:00 |
STABLE AND UNSTABLE IDEAL PLANE FLOWS |
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| C. BARDOS,Y. GUO,W. STRAUSS.STABLE AND UNSTABLE IDEAL PLANE FLOWS[J].Chinese Annals of Mathematics,Series B,2002,23(2):149-164. |
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| Authors: | C BARDOS Y GUO and W STRAUSS |
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| Institution: | Universit e Denis Diderot and LAN Universit e Pierre et Marie Curie, Paris, France.;Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.;Department of Mathematics, Brown University, Providence, Rhode Island 02912, USA. |
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| Abstract: | The authors investigate the stability of a steady ideal plane flow in an arbitrary domain in terms of the L2 norm of the vorticity. Linear stability implies nonlinear instability provided the growth rate of the linearized system exceeds the Liapunov exponent of the flow. In contrast, a maximizer of the entropy subject to constant energy and mass is stable. This implies the stability of certain solutions of the mean field equation. |
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| Keywords: | Stable ideal plane flows Unstable ideal plane flows Liapunov exponent |
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