Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators

2020/05/26 by Bertrand Lods, Lods, Bertrand, Mustapha Mokhtar‐Kharroubi +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/arxiv.2005.12583

Abstract

This paper gives a spectral approach to time asymptotics of collisionless transport semi-groups with general diffuse boundary operators. The strong stability of the invariant density is derived from the classical Ingham theorem. A recent quantitative version of this theorem provides algebraic rates of convergence to equilibrium.

Cited by

• Convergence Towards the Steady State of a Collisionless Gas With Cercignani-Lampis Boundary Condition

Related

• Convergence Rate To Equilibrium For Collisionless Transport Equations With Diffuse Boundary Operators: A New Tauberian Approach
• Invariant density & time asymptotics for collisionless kinetic equations with partly diffuse boundary operators
• On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero
• Spectral properties of general advection operators and weighted translation semigroups
• Convergence rate to equilibrium for conservative scattering models on the torus: a new tauberian approach