57 citations · 357 across the 33 of their papers we have counts for
38 papers
Hypocoercivity in Hilbert spaces
Franz Achleitner, Anton Arnold, Volker Mehrmann +1
The concept of hypocoercivity for linear evolution equations with dissipation is discussed and equivalent characterizations that were developed for the finite-dimensional case are…
Hypocoercivity in algebraically constrained partial differential equations with application to Oseen equations
Franz Achleitner, Anton Arnold, Volker Mehrmann
The long-time behavior of solutions to different versions of Oseen equations of fluid flow on the 2D torus is analyzed using the concept of hypocoercivity. The considered models ar…
Generalised Fisher Information in Defective Fokker-Planck Equations
Anton Arnold, Amit Einav, Tobias Wöhrer
The goal of this work is to introduce and investigate a generalised Fisher Information in the setting of linear Fokker-Planck equations. This functional, which depends on two funct…
Hypocoercivity and hypocontractivity concepts for linear dynamical systems
Franz Achleitner, Anton Arnold, Volker Mehrmann
For linear dynamical systems (in continuous-time and discrete-time) we revisit and extend the concepts of hypocoercivity and hypocontractivity and give a detailed analysis of the r…
On the limiting amplitude principle for the wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence for…
On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded r…