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

By Laurent Boudin, Céline Grandmont and Ayman Moussa


International audienceIn 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

Topics: [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]
Publisher: Elsevier
Year: 2017
DOI identifier: 10.1016/j.jde.2016.10.012
OAI identifier: oai:HAL:hal-01312262v1
Provided by: Hal-Diderot

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