機率研討會
主講者: | Professor Jin Feng (University of Kansas) |
講題: | A Hamilton-Jacobi equation in space of probability measures,for the verification of a conjecture by Onsager |
時間: | 2013-01-31 (Thu.) 10:00 - |
地點: | 數學所 722 研討室 (台大院區) |
Abstract: | The Onsager-Joyce-Montgomery theory concerns equilibrium statistical mechanics for 2-D turbulent vortex dynamics. In an effort to rigorously establish this theory, we encounter a special Hamilton-Jacobi equation in space of probability measures. I will outline the overall program and focus on a uniqueness result (comparison principle) of the equation using techniques from mass transportation and optimal control. The talk is based on joint works with several past and present collaborators. |
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