3 papers
math-ph2020
Non-local Hydrodynamics as a slow manifold for the one-dimensional kinetic equation
Florian Kogelbauer
We prove an explicit, non-local hydrodynamic closure for the linear one-dimensional kinetic equation independent on the size of the relaxation time. We compare this dynamical equat…
math.DS2019
Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains
Florian Kogelbauer
We prove Lr-estimates on periodic solutions of periodically-forced, linearly-damped mechanical systems with polynomially-bounded potentials. The estimates are applied to obtain a n…
math.DS2018
Global persistence of Lyapunov-subcenter-manifolds as spectral submanifolds under dissipative perturbations
Rafael de la Llave, Florian Kogelbauer
For a nondegenerate analytic system with a conserved quantity, a classic result by Lyapunov guarantees the existence of an analytic manifold of periodic orbits tangent to any two-d…