Active suspensions, of which a bath of swimming microorganisms is a paradigmatic
example, denote large collections of individual particles or macromolecules capable of …

We use the entropy method to analyse the nonlinear dynamics and stability of a continuum
kinetic model of an active nematic suspension. From the time evolution of the relative …

We consider a kinetic model of an active suspension of rodlike microswimmers. In certain
regimes, swimming has a stabilizing effect on the suspension. We quantify this effect near …

We study a popular kinetic model introduced by Saintillan and Shelley for the dynamics of
suspensions of active elongated particles where the particles are described by a distribution …

We investigate the dynamics of a dilute suspension of hydrodynamically interacting motile or
immotile stress-generating swimmers or particles as they invade a surrounding viscous fluid …

We provide a rigorous derivation of an effective rheology for dilute viscous suspensions of
self-propelled particles. We derive at the limit an effective Stokes system with two additional …

We consider a suspension of spherical inertialess particles in a Stokes flow on the torus T 3.
The particles perturb a linear extensional flow due to their rigidity constraint. Due to the …

We consider a microscopic model of n identical axis-symmetric rigid Brownian particles
suspended in a Stokes flow. We rigorously derive in the homogenization limit of many small …

We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a
coupled Vicsek–Stokes system. The Vicsek model describes self-propelled agents …

We establish global-in-time existence results for thermodynamically consistent reaction-
(cross-) diffusion systems coupled to an equation describing heat transfer. Our main interest …