EXISTENCE OF LARGE-DATA FINITE-ENERGY GLOBAL WEAK SOLUTIONS TO A COMPRESSIBLE OLDROYD-B MODEL

被引：53

作者：

Barrett, John W. ^{[1
]}

Lu, Yong ^{[2
,3
]}

Suli, Endre ^{[4
]}

机构：

[1] Imperial Coll London, Dept Math, South Kensington Campus, London SW7 2AZ, England

[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[3] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675, Czech Republic

[4] Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2017年 / 15卷 / 05期

关键词：

weak solution; compressible Navier-Stokes equation; Oldroyd-B model; SPRING CHAIN MODELS; DILUTE POLYMERS; MULTIDIMENSIONAL EQUATIONS; VISCOELASTIC FLUIDS;

D O I：

10.4310/CMS.2017.v15.n5.a5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A compressible Oldroyd-B type model with stress diffusion is derived from a compressible Navier-Stokes-Fokker-Planck system arising in the kinetic theory of dilute polymeric fluids, where polymer chains immersed in a barotropic, compressible, isothermal, viscous Newtonian solvent, are idealized as pairs of massless beads connected with Hookean springs. We develop a priori bounds for the model, including a logarithmic bound, which guarantee the nonnegativity of the elastic extra stress tensor, and we prove the existence of large data global-in-time finite-energy weak solutions in two space dimensions.

引用

页码：1265 / 1323

页数：59

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