CRM: Centro De Giorgi
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ERC Workshop on Optimal Transportation and Applications

A Hamilton-Jacobi Equation in Space of Probability Measures and its Relation with a Conjecture by Onsager

speaker: Jin Feng (University of Kansas)

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. To be sufficiently focused, after a brief outline of the overall program, I focus on the uniqueness result (comparison principle) of the equation using techniques from mass transportation and optimal control. The talk is based on joint works with past and present collaborators.


timetable:
Thu 8 Nov, 15:30 - 16:20, Aula Dini
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