Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three

We consider the Cauchy problem for coupled system of Vlasov and non-Newtonian fluid equations. We establish local well-posedness of the strong solutions, provided that the initial data are regular enough.

Automated summary

We investigate the Cauchy problem for the coupled system of Vlasov and non-Newtonian fluid equations. We establish the local well-posedness of strong solutions, assuming sufficiently regular initial data.