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  • 标题:Approximation of a Class of Incompressible Third Grade Fluids Equations
  • 本地全文:下载
  • 作者:Zeqi Zhu ; Hongxia Li ; Jianjun Fu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/627584
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper discusses the approximation of weak solutions for a class of incompressible third grade fluids equations. We first introduce a family of perturbed slightly compressible third grade fluids equations (depending on a positive parameter ) which approximate the incompressible equations as . Then we prove the existence and uniqueness of weak solutions for the slightly compressible equations and establish that the solutions of the slightly compressible equations converge to the solutions of the incompressible equations.
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