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- W2975778888 abstract "Abstract We investigate the global existence of weak solutions to a free boundary problem governing the evolution of finitely extensible bead-spring chains in dilute polymers. We construct weak solutions of the two-phase model by performing the asymptotic limit as the adiabatic exponent γ goes to ∞ for a macroscopic model which arises from the kinetic theory of dilute solutions of nonhomogeneous polymeric liquids. In this context the polymeric molecules are idealized as bead-spring chains with finitely extensible nonlinear elastic (FENE) type spring potentials. This class of models involves the unsteady, compressible, isentropic, isothermal Navier-Stokes system in a bounded domain Ω in R d , d = 2 , 3 coupled with a Fokker-Planck-Smoluchowski-type diffusion equation (cf. Barrett and Suli [3] , [4] , [7] ). The convergence of these solutions, up to a subsequence, to the free-boundary problem is established using weak convergence methods, compactness arguments which rely on the monotonicity properties of certain quantities in the spirit of [12] ." @default.
- W2975778888 created "2019-10-03" @default.
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- W2975778888 date "2020-02-01" @default.
- W2975778888 modified "2023-09-24" @default.
- W2975778888 title "On a free boundary problem for finitely extensible bead-spring chain molecules in dilute polymers" @default.
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- W2975778888 doi "https://doi.org/10.1016/j.jmaa.2019.123527" @default.
- W2975778888 hasPublicationYear "2020" @default.
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