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- W4385474334 abstract "We investigate the well-posedness of a coupled Navier-Stokes-Fokker-Planck system with a time-fractional derivative. Such systems arise in the kinetic theory of dilute solutions of polymeric liquids, where the motion of noninteracting polymer chains in a Newtonian solvent is modelled by a stochastic process exhibiting power-law waiting time, in order to capture subdiffusive processes associated with non-Fickian diffusion. We outline the derivation of the model from a subordinated Langevin equation. The elastic properties of the polymer molecules immersed in the solvent are modelled by a finitely extensible nonlinear elastic (FENE) dumbbell model, and the drag term in the Fokker--Planck equation is assumed to be corotational. We prove the global-in-time existence of large-data weak solutions to this time-fractional model of order $alpha in (tfrac12,1)$, and derive an energy inequality satisfied by weak solutions." @default.
- W4385474334 created "2023-08-02" @default.
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- W4385474334 date "2023-07-31" @default.
- W4385474334 modified "2023-09-23" @default.
- W4385474334 title "Analysis of a dilute polymer model with a time-fractional derivative" @default.
- W4385474334 doi "https://doi.org/10.48550/arxiv.2307.16606" @default.
- W4385474334 hasPublicationYear "2023" @default.
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