数学物理学报 ›› 2017, Vol. 37 ›› Issue (1): 102-112.

• 论文 • 上一篇    下一篇

不可压粘弹性流体的Leray-α-Oldroyd模型整体解的存在性

邱华, 张颖姝, 房少梅   

  1. 华南农业大学数学系 广州 510642
  • 收稿日期:2016-07-11 修回日期:2016-12-14 出版日期:2017-02-26 发布日期:2017-02-26
  • 通讯作者: 房少梅 E-mail:dz90@scau.edu.cn
  • 作者简介:邱华,E-mail:tsiuhua@scau.edu.cn;张颖姝,E-mail:zhangysh@stu.scau.edu.cn
  • 基金资助:

    国家自然科学基金(11126266,11271141)和广东省自然科学基金(2016A030313390)

The Global Existence Result of a Leray-α-Oldroyd Model to the Incompressible Viscoelastic Flow

Qiu Hua, Zhang Yingshu, Fang Shaomei   

  1. Department of Mathematics, South China Agricultural University, Guangzhou 510642
  • Received:2016-07-11 Revised:2016-12-14 Online:2017-02-26 Published:2017-02-26
  • Supported by:

    Supported by the NSFC (11126266, 11271141) and the Natural Science Foundation of Guangdong Province (2016A030313390)

摘要:

该文介绍并研究了一个新的正则化的二维粘弹性流体模型,即Leray-α-Oldroyd模型.该模型是Cheskidov等人在描述湍流的Leray-α模型的基础上提出的[16].该文研究Leray-α-Oldroyd模型的Cauchy问题,并证明了该模型强解的整体存在性.

关键词: 可压粘弹性流体, 整体存在性, Oldroyd模型, Leray-&alpha,

Abstract:

In this paper, we introduce and study a new model for two-dimensional regularized viscoelastic fluid model, the Leray-α-Oldroyd model. This model is inspired by the Leray-α model describing turbulence, introduced by Cheskidov et al[16]. We study the Cauchy problem of the Leray-α-Oldroyd model and obtain the global existence for the strong solution of this model.

Key words: Incompressible viscoelastic fluids, Global existence, Oldroyd model, Leray-α

中图分类号: 

  • O175.29