Time-Periodic Solutions to Bidomain, Chemotaxis-Fluid, and Q-Tensor Models

Abstract

The main objective of this thesis is the investigation of different models arising from mathematical biology and fluid mechanics in the time-periodic setting. We consider the classical Keller-Segel model for chemotaxis as well as its coupling to a fluid whose motion is described by the Navier-Stokes equations. The second model we investigate is the bidomain system which describes the propagation of electrophysiological waves in the heart. The last model considered is the Beris-Edwards model of nematic liquid crystals.