Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774305 | Journal of Differential Equations | 2017 | 24 Pages |
Abstract
In this article, we prove the existence of global weak solutions for the incompressible Navier-Stokes-Vlasov system in a three-dimensional time-dependent domain with absorption boundary conditions for the kinetic part. This model arises from the study of respiratory aerosol in the human airways. The proof is based on a regularization and approximation strategy designed for our time-dependent framework.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Laurent Boudin, Céline Grandmont, Ayman Moussa,