The acoustic limit from the Boltzmann equation with Fermi-Dirac statistics

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Hydro- and aero-acoustics (76Q05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Euler equations (35Q31) Boltzmann equations (35Q20) Classical solutions to PDEs (35A09)

Cites Work

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On the Cauchy problem for Boltzmann equations: Global existence and weak stability
On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions
Existence and conservation laws for the Boltzmann-Fermi-Dirac equation in a general domain
The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
Acoustic limit of the Boltzmann equation: classical solutions
Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
Classical solutions to the Boltzmann equation for molecules with an angular cutoff
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
On the kinetic method in the new statistics and its application in the electron theory of conductivity.
Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
The acoustic limit for the Boltzmann equation
Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation
Kinetic equations with Maxwell boundary conditions
Acoustic limit for the Boltzmann equation in optimal scaling
THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
On the existence of global solutions of mixed problem for non-linear Boltzmann equation
Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions
Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
On the Boltzmann equation for long-range interactions
Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
The Boltzmann equation in the whole space
Remarks on the Acoustic Limit for the Boltzmann Equation
Boltzmann diffusive limit beyond the Navier‐Stokes approximation
On some related non homogeneous 3D Boltzmann models in the non cutoff case
From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II
On spatially homogeneous solutions of a modified Boltzmann equation for Fermi-Dirac particles.
The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics

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