Optimal time decay of the quantum Landau equation in the whole space

DOI10.1016/J.JDE.2012.02.003zbMath1238.35112OpenAlexW2062111735MaRDI QIDQ414818

Xuan Ma, Shuangqian Liu, Hongjun Yu

Publication date: 11 May 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.02.003

zbMATH Keywords

compensating functionoptimal time decaynonlinear energy methodquantum Landau equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Ginzburg-Landau equations (35Q56)

Related Items (7)

Smoothing estimates of the Vlasov-Poisson-Landau system ⋮ Optimal time decay of the Boltzmann system for gas mixtures ⋮ L 2-stability of the Landau equation near global Maxwellians ⋮ Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials ⋮ The relativistic quantum Boltzmann equation near equilibrium ⋮ The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation

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