18 citations · 19 across the 11 of their papers we have counts for
5 papers · 1 filter
Relative entropy technique in terms of position and momentum and its application to Euler-Poisson system
Jan Giesselmann, Kiwoong Kwon, Min-Gi Lee
This paper presents a systematic study of the relative entropy technique for compressible motions of continuum bodies described as Hamiltonian flows. While the description for the…
Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization
Herbert Egger, Jan Giesselmann
We study a doubly nonlinear parabolic problem arising in the modeling of gas transport in pipelines. Using convexity arguments and relative entropy estimates we show uniform bounds…
An Observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization
Martin Gugat, Jan Giesselmann
We consider a state estimation problem for gas flows in pipeline networks where hydrogen is blended into the natural gas. The flow is modeled by the quasi-linear isothermal Euler e…
Modeling of compressible electrolytes with phase transition
Wolfgang Dreyer, Jan Giesselmann, Christiane Kraus
A novel thermodynamically consistent diffuse interface model is derived for compressible electrolytes with phase transitions. The fluid mixtures may consist of N constituents with…
Relative entropy in multi-phase models of 1d elastodynamics: Convergence of a non-local to a local model
Jan Giesselmann
In this paper we study a local and a non-local regularization of the system of nonlinear elastodynamics with a non-convex energy. We show that solutions of the non-local model conv…