Differential and Integral Equations

Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

Laurent Boudin, Laurent Desvillettes, Céline Grandmont, and Ayman Moussa

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In this work, we obtain a result of global existence for weak solutions of the three-dimensional incompressible Vlasov-Navier-Stokes equations, the coupling being done through a drag force which is linear with respect to the relative velocity of the fluid and particles.

Article information

Differential Integral Equations, Volume 22, Number 11/12 (2009), 1247-1271.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 76D05: Navier-Stokes equations [See also 35Q30]
Secondary: 35A01: Existence problems: global existence, local existence, non-existence 35D30: Weak solutions 35Q35: PDEs in connection with fluid mechanics 76T10: Liquid-gas two-phase flows, bubbly flows


Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman. Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Differential Integral Equations 22 (2009), no. 11/12, 1247--1271. https://projecteuclid.org/euclid.die/1356019415

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