We consider a coupled system of the Navier–Stokes and Fokker–Planck equations used to describe the motion of a polydispersed suspension of solid particles in a viscous incompressible fluid. We prove the theorem on existence of solutions and study some properties of global weak solutions of the initial boundary-value problem for this system.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 2, pp. 192–225, February, 2013.
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Egorov, S.M., Khruslov, E.Y. Global weak solutions of the Navier–Stokes–Fokker–Planck system. Ukr Math J 65, 212–248 (2013). https://doi.org/10.1007/s11253-013-0774-x
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DOI: https://doi.org/10.1007/s11253-013-0774-x