4 papers
Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
Markus Haltmeier, Lukas Neumann, Linh V. Nguyen +1
Quantitative image reconstruction in photoacoustic tomography requires the solution of a coupled physics inverse problem involvier light transport and acoustic wave propagation. In…
A kinetic reaction model: decay to equilibrium and macroscopic limit
Lukas Neumann, Christian Schmeiser
We propose a kinetic relaxation-model to describe a generation-recombination reaction of two species. The decay to equilibrium is studied by two recent methods for proving hypocoer…
Quantum Fokker-Planck models: the Lindblad and Wigner approaches
Anton Arnold, Franco Fagnola, Lukas Neumann
In this article we try to bridge the gap between the quantum dynamical semigroup and Wigner function approaches to quantum open systems. In particular we study stationary states an…
Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions
Lukas Neumann, Christof Sparber
We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish th…