\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2010, Volume 13, Issue 1: 101-116. Doi: 10.3934/dcdsb.2010.13.101
This issue Previous Article Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models Next Article Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type

Numerical simulation and self-similar analysis of singular solutions of Prandtl equations

  • 1.

    Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

Received:  April 30, 2009
Revised:  August 31, 2009
Published:  June 2010
Abstract Related Papers Cited by
    Abstract
  • We use the iterative grid redistribution method(IGR) to solve Prandtl equations and study the self-similar behavior of the singular solutions of them. The IGR method enables us to get more accurate solutions of Prandtl equations when they develop singularity. We also study the self-similar behavior of the singular solutions. Blow up rate and blow up profiles are derived and the results are verified by the numerical solutions.
    Mathematics Subject Classification: Primary: 35Q30, 14E15; Secondary: 60G18, 33F05.

    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(94) 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