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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Suli, Endre¹  Wroblewska-Kaminska, Aneta² 

[1] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

[2] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

关键词: Navier-Stokes-Fokker-Planck system;    Mach number;    Compressible fluid;    Incompressible fluid;    Weak;    solutions;    Singular limit;   

DOI  :  10.1016/j.jde.2020.04.006

来源: Elsevier

【 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 un- der consideration the solvent is assumed to be a compressible, isentropic, viscous, isothermal Newtonian fluid, confined to a bounded open domain in 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 incompress- ible counterpart. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free