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

Laurent Boudin; Céline Grandmont; Ayman Moussa

doi:10.1016/j.jde.2016.10.012

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

Laurent Boudin
, Céline Grandmont
, Ayman Moussa

École Polytechnique

CNRS
INRIA Institut National de Recherche en Informatique et en Automatique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

30 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	1317-1340
Nombre de pages	24
journal	Journal of Differential Equations
Volume	262
Numéro de publication	3
Les DOIs	https://doi.org/10.1016/j.jde.2016.10.012
état	Publié - 5 févr. 2017

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10.1016/j.jde.2016.10.012

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title = "Global existence of solutions to the incompressible Navier{\textendash}Stokes{\textendash}Vlasov equations in a time-dependent domain",

abstract = "In this article, we prove the existence of global weak solutions for the incompressible Navier{\textendash}Stokes{\textendash}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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AU - Grandmont, Céline

AU - Moussa, Ayman

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Y1 - 2017/2/5

N2 - 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.

AB - 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.

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DO - 10.1016/j.jde.2016.10.012

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JO - Journal of Differential Equations

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

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