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双周三学术报告会:The Compressible Euler Limit from Quantum Boltzmann Equation with Fermi–Dirac Statistics
报告人:周凯博士 时间:2026年5月6日12:20 字号:小中大

报告地点:行健楼学术活动室526

摘要: In this talk, we introduce our recent work on the hydrodynamic limit of quantum Boltzmann equation. By employing Hilbert expansion, in particular analyzing the nonlinear implicit transformation between the classical form of compressible Euler equations and the one obtained directly from Boltzmann-Fermi–Dirac equation, and some new type of Grad–Caflisch type decay estimate of the linearized collision operator, we establish the compressible Euler limit from scaled Boltzmann-Fermi–Dirac equation, which was formally derived by Zakrevskiy in (Kinetic models in the near-equilibrium regime. Thesis at Polytechnique, 2015) by moment method.


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