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Analysis
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Sehyun Ji, PMA 10.176: Isotropic Landau equation does not blow up
Wednesday, May 01, 2024, 01:00pm - 02:00pm
The Landau equation is an important subject in kinetic equations. Recently, Guillen and Silvestre showed that the solutions of the Landau equation remain bounded for very soft potentials, including Coulombic potentials. Their breakthrough was achieved by proving that the Fisher information is monotone decreasing. An isotropic modification of the Landau equation was introduced by Krieger and Strain and has been studied over the last decade. Based on the method of Guillen-Silvestre, we prove that the Fisher information of the isotropic Landau equation (the Krieger-Strain equation) is also monotone decreasing. As a consequence, we establish the global existence of smooth solutions for a reasonable class of initial data. This talk is based on joint work with David Bowman.
Location: PMA 10.176

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