2 papers
math.AP2025
On an Euler-Schrödinger system appearing in laser-plasma interaction
Kuntal Bhandari, Bernard Ducomet, Šarka Nečasová +1
We consider the Cauchy problem for the barotropic Euler system coupled to a vector Schrödinger equation in the whole space. Assuming that the initial density and vector potential 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…