On the homogenization of the Stokes equations in perforated domains with application to fluid/solid interaction problems

DOI10.5802/slsedp.102zbMath1475.35028OpenAlexW2675340217MaRDI QIDQ2053923

Matthieu Hillairet

Publication date: 30 November 2021

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0602bbba16989e7a0856cf2f308b3ee224b63bde

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• From Newton to Boltzmann: hard spheres and short-range potentials
• Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
• Some aspects of the modeling at different scales of multiphase flows
• The mean-field limit for solid particles in a Navier-Stokes flow
• The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains
• On the homogenization of the Stokes problem in a perforated domain
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• A Physical Introduction to Suspension Dynamics
• ESTIMATES FOR THE HOMOGENIZATION OF STOKES PROBLEM IN A PERFORATED DOMAIN
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

This page was built for publication: On the homogenization of the Stokes equations in perforated domains with application to fluid/solid interaction problems