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UID:2021042202190820210412T16000020210412T1650006080dd1c92262@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20210421T091802
DTSTART:20210412T160000
DTEND:20210412T165000
SUMMARY:Analysis and Applied Mathematics Seminar: Hardy inequalities for the Landau equation, by Maria Pia Gualdani
DESCRIPTION:Maria Pia Gualdani (UT Austin): Hardy inequalities for the Landau equation Kinetic equations are used to describe evolution of interacting particles. The most famous kinetic equation is the Boltzmann equation: formulated by Ludwig Boltzmann in 1872, this equation describes motion of a large class of gases. Later, in 1936, Lev Landau derived a new mathematical model for motion of plasma. This latter equation was named the Landau equation. One of the main features of the Landau equation is nonlocality, meaning that particles interact at large, non-infinitesimal length scales. Moreover, the coefficients are singular and degenerate for large velocities. Many important questions, such as whether or not solutions become unbounded after a finite time, are still unanswered due to their mathematical complexity. In this talk we concentrate on the mathematical results of the homogeneous Landau equation. We will first review existing results and open problems and in the second part of the talk we will focus on recent developments of well-posedness and regularity theory. This is a joint work with Nestor Guillen. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:Zoom Chicago IL
CLASS:PRIVATE
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