Equivalence of Weak Solvability of Initial-Boundary Value Problems for the Jeffries-Oldroyd Model and one Integro-Differential System with Memory

被引:0
作者
V. G. Zvyagin
V. P. Orlov
A. S. Arsentiev
机构
[1] Voronezh State University,
来源
Russian Mathematics | 2020年 / 64卷
关键词
viscoelastic medium; equations of motion; initial boundary value problem; weak decision;
D O I
暂无
中图分类号
学科分类号
摘要
The equivalence of weak solvability of initial boundary value problems for the Jeffries-Oldroyd model and one integro-differential system with memory is established. The proofs of the statements are essentially based on the properties of regular Lagrangian flows.
引用
收藏
页码:69 / 74
页数:5
相关论文
共 16 条
[1]  
Vorotnikov DA(2009)Review of results and open problems on mathematical models of Jeffries-type viscoelastic media Vestn. VSU 2 30-50
[2]  
Zvyagin VG(2018)Solvability of one non-Newtonian fluid dynamics model with memory Nonlinear Anal.: TMA 172 79-98
[3]  
Zvyagin VG(2019)Dissipative solvability of an alpha model of fluid flow with memory Computational Mathematics and Mathematical Physics 59 1185-1198
[4]  
Orlov VP(1991)On mathematical models of a viscoelasticity with a memory Diff. Integral Equat. 4 103-115
[5]  
Zvyagin AV(1989)Ordinary differential equations, transport theory and Sobolev spaces Invent. Math. 98 511-547
[6]  
Zvyagin VG(2004)Transport equation and Cauchy problem for BV vector fields Invent. Math. 158 227-260
[7]  
Polyakov DN(2008)Estimates and regularity results for the diPerna-Lions flow J. Reine Angew. Math. 6 15-46
[8]  
Orlov VP(2005)On convergence of solutions of a regularized problem for the equations of motion of a viscoelastic Jeffries medium to solutions of the original problem Fund. Appl. Math. 11 49-63
[9]  
Sobolevskii PE(undefined)undefined undefined undefined undefined-undefined
[10]  
DiPerna RJ(undefined)undefined undefined undefined undefined-undefined