Optimal estimate of the spectral gap for the degenerate Goldstein-Taylor model

DOI10.1007/s10955-013-0825-6zbMath1291.35157OpenAlexW2068553084MaRDI QIDQ2016505

Étienne Bernard, Francesco Salvarani

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-013-0825-6

zbMATH Keywords

spectral gapdegenerate cross sectionGoldstein-Taylor model

Mathematics Subject Classification ID

Initial value problems for linear first-order PDEs (35F10) Boltzmann equations (35Q20)

Related Items (8)

Finding the jump rate for fastest decay in the Goldstein-Taylor model ⋮ Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium ⋮ Large time convergence of the non-homogeneous Goldstein-Taylor equation ⋮ Correction to: ``Optimal estimate of the spectral gap for the degenerate Goldstein-Taylor model ⋮ Quantitative rates of convergence to equilibrium for the degenerate linear Boltzmann equation on the torus ⋮ Mathematical and numerical study of a dusty Knudsen gas mixture ⋮ Numerical simulations of degenerate transport problems ⋮ Sharpening of decay rates in Fourier based hypocoercivity methods

Cites Work

• GPU-accelerated numerical simulations of the Knudsen gas on time-dependent domains
• Hypocoercivity for kinetic equations with linear relaxation terms
• Asymptotic behavior of degenerate linear transport equations
• Semigroups of linear operators and applications to partial differential equations
• A stochastic model related to the telegrapher's equation
• Diffusive limit for finite velocity Boltzmann kinetic models
• On the convergence to equilibrium for degenerate transport problems
• On the exponential decay to equilibrium of the degenerate linear Boltzmann equation
• Hypocoercivity
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Decay of solutions to nondissipative hyperbolic systems on compact manifolds
• Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
• ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal estimate of the spectral gap for the degenerate Goldstein-Taylor model