\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2008, Volume 7, Issue 2: 373-381. Doi: 10.3934/cpaa.2008.7.373
This issue Previous Article Multiple solutions for a class of Ambrosetti-Prodi type problems for systems involving critical Sobolev exponents Next Article On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function

One dimensional compressible Navier-Stokes equations with density-dependent viscosity and free boundaries

  • 1.

    Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275

  • 2.

    Department of Mathematics, Sun Yat-sen University, Guangzhou 510275

  • 3.

    Department of Mathematics, College of Mathematics and Information Science, GuangZhou University, Guangzhou, 510006

Received:  June 30, 2006
Revised:  November 30, 2007
Published:  February 2008
Abstract Related Papers Cited by
    Abstract
  • A free-boundary problem is studied for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity that decreases (to zero) with decreasing density, i.e., $\mu=A\rho^\theta$, where $A$ and $\theta$ are positive constants. The existence and uniqueness of the global weak solutions are obtained with $\theta\in (0,1]$, which improves the previous results and no vacuum is developed in the solutions in a finite time provided the initial data does not contain vacuum.
    Mathematics Subject Classification: Primary: 35Q30, 76N10; Secondary: 76N15.

    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(220) 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