Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Global Smooth Solutions to the Inhomogeneous Landau-Fermi-Dirac Equation
The Landau-Fermi-Dirac equation is a modification of the classical Landau equation for fermions, which are subject to the Pauli exclusion principle. This principle implies an additional a priori bound on the distribution function, from which new regularity and decay estimates may be derived independently of the classical hydrodynamic quantities. This bypasses the usual difficulty of propagating bounds on the hydrodynamic quantities and enables the construction of global in time smooth solutions. For the classical Landau equation, our method can be used to construct some smooth, infinite mass solutions and thereby eliminating one potential mechanism for the formation of implosion singularities. This is joint work with Chris Henderson.
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