On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: averaging compactness of weak solutions
From MaRDI portal
Publication:857615
DOI10.1007/s10955-006-9039-5zbMath1134.82036OpenAlexW2070657236MaRDI QIDQ857615
Publication date: 19 December 2006
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-006-9039-5
Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (8)
Global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data ⋮ On the quantum Boltzmann equation near Maxwellian and vacuum ⋮ Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials ⋮ Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions ⋮ The relativistic quantum Boltzmann equation near equilibrium ⋮ Global existence and stability of solutions of spatially homogeneous Boltzmann equation for Fermi-Dirac particles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intermolecular forces of infinite range and the Boltzmann equation
- 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
- Regularity of the moments of the solution of a transport equation
- The Boltzmann equation and its applications
- On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
- On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions
- Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
- The mathematical theory of dilute gases
- Hypoelliptic regularity in kinetic equations.
- On stability and strong convergence for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
- Entropy dissipation and long-range interactions
- Compactness in Boltzmann's equation via Fourier integral operators and applications. III
- Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric
- Some considerations on the derivation of the nonlinear quantum Boltzmann equation
- Averaging lemmas without time Fourier transform and application to discretized kinetic equations
- Regularity in the boltzmann equation and the radon transform
- Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
- On the Boltzmann equation for long-range interactions
- On some related non homogeneous 3D Boltzmann models in the non cutoff case
- On spatially homogeneous solutions of a modified Boltzmann equation for Fermi-Dirac particles.
This page was built for publication: On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: averaging compactness of weak solutions