\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2004, Volume 10, Issue 1&2: 459-472. Doi: 10.3934/dcds.2004.10.459
This issue Previous Article On a limiting system in the Lotka--Volterra competition with cross-diffusion Next Article Attractors for noncompact nonautonomous systems via energy equations

Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows

  • 1.

    Department of Mathematics, Sichuan University, Chengdu

  • 2.

    Department of Mathematics, Indiana University, Bloomington, IN 47405

Received:  February 28, 2003
Revised:  July 31, 2003
Published:  December 2003
Abstract Related Papers Cited by
    Abstract
  • The main objective of this article and the previous articles [2, 3, 7] is to provide a rigorous characterization of the boundary layer separation of 2-D incompressible viscous fluids. First we establish a simple equation linking the separation location and time with the Reynolds number, the external forcing the boundary curvature, and the initial velocity field. Second, we show that external forcing with reverse orientation to the initial velocity field leads to structural bifurcation at a degenerate singular point with integer index of the velocity field at the critical bifurcation time. Necessary and sufficient kinematic conditions are given to identify the case for boundary layer separation.
    Mathematics Subject Classification: 34D, 35Q35, 58F, 76, 86A10.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(135) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences