189 citations · 1.1k across the 48 of their papers we have counts for
5 papers · 2 filters
Global existence analysis of energy-reaction-diffusion systems
Julian Fischer, Katharina Hopf, Michael Kniely +1
We establish global-in-time existence results for thermodynamically consistent reaction-(cross-)diffusion systems coupled to an equation describing heat transfer. Our main interest…
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance
Alexander Mielke, Mark A. Peletier, Artur Stephan
We consider nonlinear reaction systems satisfying mass-action kinetics with slow and fast reactions. It is known that the fast-reaction-rate limit can be described by an ODE with L…
Relating a rate-independent system and a gradient system for the case of one-homogeneous potentials
Alexander Mielke
We consider a non-negative and one-homogeneous energy functional on a Hilbert space. The paper provides an exact relation between the solutions of the associated gradi…
A rigorous derivation and energetics of a wave equation with fractional damping
Alexander Mielke, Roland R. Netz, Sina Zendehroud
We consider a linear system that consists of a linear wave equation on a horizontal hypersurface and a parabolic equation in the half space below. The model describes longitudinal…
Modeling of chemical reaction systems with detailed balance using gradient structures
Jan Maas, Alexander Mielke
We consider various modeling levels for spatially homogeneous chemical reaction systems, namely the chemical master equation, the chemical Langevin dynamics, and the reaction-rate…