Time-periodic solution to a two-phase model with magnetic field in a periodic domain (Q2188339)

This paper is concerned with a two-phase model with magnetic field and a time-periodic external force in a periodic domain in \(\mathbb{R}^N\). The first goal is to establish the existence of periodic solutions for the regularized problem, where a topological degree theory for compact operators is used. As a main result, the existence of time-periodic solutions to the model is proved by a limiting process.