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arXiv · 1609.06620

Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations

Lei Yao·Cheng Yu
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Abstract

A moderately thick spray can be described by a coupled system of equations consisting of the incompressible Navier-Stokes equations and the Vlasov-Boltzmann equation. We investigate this kind of mathematical model in this paper. In particular, we study the initial value problem for the Navier-Stokes-Vlasov-Boltzmann equations. The existence of global weak solutions is established by a weak convergence method. The interesting point of our main result is to handle the model with some breakup effects while the velocity of particles is in the whole space.

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Lei Yao, Cheng Yu. 2016-09-21. Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations. https://arxiv.org/abs/1609.06620

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