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Modelling and numerics for respiratory aerosols. (English) Zbl 1373.76078
Summary: In this work, we present a model for an aerosol (air/particle mixture) in the respiratory system. It consists of the incompressible Navier-Stokes equations for the air and the Vlasov equation for the particles in a fixed or moving domain, coupled through a drag force. We propose a discretization of the model, investigate stability properties of the numerical code and sensitivity to parameter perturbation. We also focus on the influence of the aerosol on the airflow.

76M10 Finite element methods applied to problems in fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
76T10 Liquid-gas two-phase flows, bubbly flows
76Z05 Physiological flows
92C30 Physiology (general)
35Q30 Navier-Stokes equations
35Q92 PDEs in connection with biology, chemistry and other natural sciences
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