流体物理学ゼミナール2006/12/07


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_/ 流体力学セミナー 2006 No. 14
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_/ 日 時 : 06年 12月 11日 (月) 15:00〜16:30
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_/ 場 所 : 京大数理研 009号室
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_/ 講 師: Dr. Susan Friedlander
_/ University of Illinois-Chicago
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_/ 題 目: An Inviscid Dyadic Model For Turbulence
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_/ 内 容 : We discuss properties of a GOY type model for the inviscid
_/ fluid equations. We prove that the forced system has a unique
_/ equilibrium which a an exponential global attractor.
_/ Every solution blows up in H^5/6 in finite time . After
_/ this time, all solutions stay in H^s, s
_/ “turbulent” dissipation occurs. Onsager’s conjecture is
_/ confirmed for the model system.
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_/ This is joint work with Alexey Cheskidov and Natasa Pavlovic.
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