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

Centre national de la recherche scientifique
INRIA Institut National de Recherche en Informatique et en Automatique

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1317-1340
Number of pages	24
Journal	Journal of Differential Equations
Volume	262
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2016.10.012
Publication status	Published - 5 Feb 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 - Boudin, Laurent

AU - Grandmont, Céline

AU - Moussa, Ayman

PY - 2017/2/5

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.

UR - https://www.scopus.com/pages/publications/85005808172

U2 - 10.1016/j.jde.2016.10.012

DO - 10.1016/j.jde.2016.10.012

M3 - Article

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EP - 1340

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 3

ER -

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

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