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Lions, P. and Masmoudi, N. (2000) Global Solutions for Some Oldroyd Models of Non-Newtonian Flows. Chinese Annals of Mathematics, 21, 131-146.
https://doi.org/10.1142/S0252959900000170

has been cited by the following article:

• TITLE: Incompressible Limit of the Oldroyd-B Model with Density-Dependent Viscosity

  AUTHORS: Qingliu Li, Dandan Ren

  KEYWORDS: Incompressible Limit, Oldroyd-B Model, Slip Boundary Condition, Density-Dependent Viscosity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.4, April 23, 2023

  ABSTRACT: This paper studies the existence and uniqueness of local strong solutions to an Oldroyd-B model with density-dependent viscosity in a bounded domain Ω ⊂ Rd, d = 2 or 3 via incompressible limit, in which the initial data is “well-prepared” and the velocity field enjoys the slip boundary conditions. The main idea is to derive the uniform energy estimates for nonlinear systems and corresponding incompressible limit.