Smoothing effects for the classical solutions to the Landau-Fermi-Dirac equation

DOI10.1007/s11401-012-0747-7zbMath1259.35173OpenAlexW2063629744MaRDI QIDQ1938726

Shuangqian Liu

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0747-7

zbMATH Keywords

classical solutionssmoothing effectLandau-Fermi-Dirac equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with quantum mechanics (35Q40) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (3)

Stability of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Regularizing effects for the classical solutions to the Landau equation in the whole space

Cites Work

• Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials
• Smoothing effects for classical solutions of the full Landau equation
• On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions
• Uncertainty principle and kinetic equations
• Analytic smoothness effect of solutions for spatially homogeneous Landau equation
• Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
• Dispersion relations for the linearized Fokker-Planck equation
• The Landau equation in a periodic box
• SMOOTHNESS OF WEAK SOLUTIONS OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION
• On asymptotics of the Boltzmann equation when the collisions become grazing
• Averaging lemmas without time Fourier transform and application to discretized kinetic equations
• Well-posedness for the spatially homogeneous Landau–Fermi–Dirac equation for hard potentials
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
• ON THE CONNECTION BETWEEN A SOLUTION OF THE BOLTZMANN EQUATION AND A SOLUTION OF THE LANDAU-FOKKER-PLANCK EQUATION
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