130 citations · 131 across the 5 of their papers we have counts for
4 papers · 1 filter
Initial-boundary value problem for 1D pressureless gas dynamics
L. Neumann, M. Oberguggenberger, M. R. Sahoo +1
The paper considers the system of pressureless gas dynamics in one space dimension. The question of solvability of the initial-boundary value problem is addressed. Using the method…
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…
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…