Quantitative geometric control in linear kinetic theory
We consider general linear kinetic equations combining transport and a linear collision on
the kinetic variable with a spatial weight that can vanish on part of the domain. The …
the kinetic variable with a spatial weight that can vanish on part of the domain. The …
On quantitative hypocoercivity estimates based on Harris-type theorems
H Yoldaş - Journal of Mathematical Physics, 2023 - pubs.aip.org
This Review concerns recent results on the quantitative study of convergence toward the
stationary state for spatially inhomogeneous kinetic equations. We focus on analytical …
stationary state for spatially inhomogeneous kinetic equations. We focus on analytical …
Asymptotic Behavior of Degenerate Linear Kinetic Equations with Non-Isothermal Boundary Conditions
A Bernou - arXiv preprint arXiv:2308.01694, 2023 - arxiv.org
We study the degenerate linear Boltzmann equation inside a bounded domain with the
Maxwell and the Cercignani-Lampis boundary conditions, two generalizations of the diffuse …
Maxwell and the Cercignani-Lampis boundary conditions, two generalizations of the diffuse …
Trajectorial hypocoercivity and application to control theory
We present the quantitative method of the recent work [6] in a simple setting, together with a
compactness argument that was not included in [6] and has interest per se. We are …
compactness argument that was not included in [6] and has interest per se. We are …