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arXiv 1906.045342019-06-11math.AP

The incompressible limit of compressible finitely extensible nonlinear bead-spring chain models for dilute polymeric fluids

Endre Süli, Aneta Wróblewska-Kamińska

英文摘要：

We explore the behaviour of global-in-time weak solutions to a class of bead-spring chain models, with finitely extensible nonlinear elastic (FENE) spring potentials, for dilute polymeric fluids. In the models under consideration the solvent is assumed to be a compressible, isentropic, viscous, isothermal Newtonian fluid, confined to a bounded open domain in $\mathbb{R}^3$, and the velocity field is assumed to satisfy a complete slip boundary condition. We show that as the Mach number tends to zero the system is driven to its incompressible counterpart.

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