3 papers
math.OC2024
Analysis of Unregularized Optimal Control Problems Constrained by the Boussinesq System
Nicolai Jork, John Sebastian H. Simon
This paper investigates solution stability properties of unregularized tracking-type optimal control problems constrained by the Boussinesq system. In our model, the controls may a…
math.AP2024
Global solutions of Euler-Maxwell equations with dissipation
Bernard Ducomet, Šárka Nečasová, John Sebastian H. Simon
We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish…
math.AP2023
On a nonlocal two-phase flow with convective heat transfer
Šárka Nečasová, John Sebastian H. Simon
We study a system describing the dynamics of a two-phase flow of incompressible viscous fluids influenced by the convective heat transfer of Caginalp-type. The separation of the fl…