57 citations · 357 across the 33 of their papers we have counts for
4 papers · 2 filters
On linear hypocoercive BGK models
Franz Achleitner, Anton Arnold, Eric A. Carlen
We study hypocoercivity for a class of linear and linearized BGK models for discrete and continuous phase spaces. We develop methods for constructing entropy functionals that prove…
A piezoelectric Euler-Bernoulli beam with dynamic boundary control: stability and dissipative FEM
Maja Miletic, Anton Arnold
We present a mathematical and numerical analysis on a control model for the time evolution of a multi-layered piezoelectric cantilever with tip mass and moment of inertia, as devel…
Large-time behavior in non-symmetric Fokker-Planck equations
Franz Achleitner, Anton Arnold, Dominik Stürzer
We consider three classes of linear non-symmetric Fokker-Planck equations having a unique steady state and establish exponential convergence of solutions towards the steady state w…
Stability of an Euler-Bernoulli beam with a nonlinear dynamic feedback system
Maja Miletić, Dominik Stürzer, Anton Arnold +1
This paper is concerned with the stability analysis of a lossless Euler-Bernoulli beam that carries a tip payload which is coupled to a nonlinear dynamic feedback system. This setu…