Analysis of a model for the dynamics of microswimmer suspensions

TL;DR

This paper investigates a recently derived mathematical model for microswimmer suspension dynamics, establishing the existence and uniqueness of solutions and connecting it to an alternative model, thereby advancing theoretical understanding.

Contribution

It proves global existence and weak-strong uniqueness of solutions for the model and links it to a different existing model, enhancing theoretical insights.

Findings

Proved global existence of weak solutions.

Established weak-strong uniqueness.

Connected the model to an alternative formulation.

Abstract

In this paper, a model that was recently derived in Reinken et al. [11] to describe the dynamics of microswimmer suspensions is studied. In particular, the global existence of weak solutions, their weak-strong uniqueness and a connection to a different model that was proposed in Wensink et al. [18] is shown.