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Journal Articles Journal of Differential Equations Year : 2017

Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain

Abstract

In this article, we prove the existence of global weak solutions for the in-compressible 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.
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Dates and versions

hal-01312262 , version 1 (05-05-2016)

Licence

Attribution - NonCommercial

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Laurent Boudin, Céline Grandmont, Ayman Moussa. Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain. Journal of Differential Equations, 2017, 262 (3), pp.1317-1340. ⟨10.1016/j.jde.2016.10.012⟩. ⟨hal-01312262⟩
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