Analysis of Fluids and Related Topics
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Sona Akopian
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Brown University
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The homogeneous Landau equation in the Coulomb case with an infinite entropy dissipation rate
Zoom link: https://princeton.zoom.us/j/9148065146
In 1998 it was shown by Villani that weak solutions to the spatially homogeneous Landau and Boltzmann equations which model rarefied gases with very strong (Coulomb) repulsive intermolecular forces can exist under the a priori assumption that the rate of entropy decay (a.k.a. entropy dissipation rate) is finite for all time t≥0.t≥0.