Existence of Global Weak Solutions to Fokker–planck and Navier–stokes–fokker–planck Equations in Kinetic Models of Dilute Polymers
نویسندگان
چکیده
This survey paper reviews recent developments concerning the existence of global weak solutions to Fokker–Planck equations with unbounded drift terms, and coupled Navier–Stokes–Fokker–Planck systems of partial differential equations, that arise in finitely extensible nonlinear elastic (FENE) type kinetic models of incompressible dilute polymeric fluids in the case of general noncorotational flow.
منابع مشابه
Existence of Global Weak Solutions to Coupled Navier–stokes–fokker–planck Systems: a Brief Survey
We present a brief survey of recent results concerning the existence of global-in-time weak solutions in a bounded Lipschitz domain in R, d ∈ {2, 3}, to a class of kinetic models for dilute polymeric liquids with noninteracting polymer chains. The mathematical model is a coupled Navier–Stokes–Fokker–Planck system. The velocity and the pressure of the fluid satisfy a Navier–Stokes-like system of...
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