54 citations · 299 across the 38 of their papers we have counts for
3 papers · 2 filters
The problem of dynamic cavitation in nonlinear elasticity
Jan Giesselmann, Alexey Miroshnikov, Athanasios E. Tzavaras
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example…
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…