On the convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
From MaRDI portal
Publication:6081415
DOI10.1007/s10955-023-03152-0arXiv2212.09287MaRDI QIDQ6081415
Publication date: 5 October 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.09287
entropy inequalitycomplete positivitymoment estimateFermi-Dirac particlesstrong convergence to equilibrium
Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Boltzmann equation for Fermi-Dirac particles with very soft potentials: global existence of weak solutions
- Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids
- A proof of the smoothing properties of the positive part of Boltzmann's kernel
- A direct method for the regularity of the gain term in the Boltzmann equation
- Some applications of the method of moments for the homogeneous Boltzmann and Kac equations
- Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
- Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
- The geometry of binary collisions and generalized Radon transforms
- On stability and strong convergence for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
- Compactness in Boltzmann's equation via Fourier integral operators and applications. III
- The spatially homogeneous Boltzmann equation for Bose-Einstein particles: rate of strong convergence to equilibrium
- About the Landau-Fermi-Dirac equation with moderately soft potentials
- Finite time blow-up and condensation for the bosonic Nordheim equation
- On the quantum Boltzmann equation
- On strong convergence to equilibrium for the Boltzmann equation with soft potentials
- On the quantum Boltzmann equation near Maxwellian and vacuum
- ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS
- 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 convergence to equilibrium for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles