Article citationsMore>>

Lei, Z. (2006) Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit. Chinese Annals of Mathematics, Series B, 27, 565-580.
https://doi.org/10.1007/s11401-005-0041-z

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.