About the use of entropy production for the Landau-Fermi-Dirac equation
DOI10.1007/S10955-021-02751-ZzbMath1466.76054arXiv2012.12998OpenAlexW3144148493MaRDI QIDQ2034646
Publication date: 22 June 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12998
entropyregularityFisher informationLandau equationlong-time behavioursoft potentialquantum kinetic modes
PDEs in connection with fluid mechanics (35Q35) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of liquids (82D15) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Statistical mechanics of gases (82D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P99)
Related Items (4)
Cites Work
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- Estimates for the large time behavior of the Landau equation in the Coulomb case
- Celebrating Cercignani's conjecture for the Boltzmann equation
- Two proofs of Haff's law for dissipative gases: the use of entropy and the weakly inelastic regime
- Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics
- Convergence to equilibrium in a system of reacting polymers
- Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
- On stability and strong convergence for the spatially homogeneous Boltzmann equation for Fermi-Dirac particles
- On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Cercignani's conjecture is sometimes true and always almost true
- Entropy production estimates for Boltzmann equations with physically realistic collision kernels
- About Boltzmann's H theorem for the Landau equation
- Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials
- Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations
- Entropy dissipation estimates for the Landau equation in the Coulomb case and applications
- Trend to equilibrium for the Becker-Döring equations : an analogue of Cercignani's conjecture
- Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
- General relative entropy inequality: an illustration on growth models
- Entropy Methods for Diffusive Partial Differential Equations
- Entropy Dissipation Estimates for the Landau Equation: General Cross Sections
- Continuity of Solutions of Parabolic and Elliptic Equations
- Logarithmic Sobolev Inequalities
- Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation
- 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 spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
- Emergence of exponentially weighted Lp-norms and Sobolev regularity for the Boltzmann equation
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
- On spatially homogeneous solutions of a modified Boltzmann equation for Fermi-Dirac particles.
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