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Some new results of existence for the theory of sprays

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Partial Differential Equations in Kinetic Theories

We present results of existence for sprays equations. Those are systems in which a Vlasov (or Vlasov-Fokker-Planck, or Vlasov-Boltzmann) equation is coupled with an equation of fluid mechanics (compressible or incompressible Euler; compressible or incompressible Navier-stokes; or even Boltzmann). They model complex flows in which a dispersed (liquid or solid) phase interacts with a gas. We detail the latest results, obtained with Laurent Boudin, Cline Granmont and Ayman Moussa, and corresponding to incompressible viscous thin sprays.

This talk is part of the Isaac Newton Institute Seminar Series series.

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