Advanced Search
Article Contents
Article Contents

On a $\nu$-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-Type boundary condition

Abstract Related Papers Cited by
  • Under assumptions on smoothness of the initial velocity and the external body force, we prove that there exists T0 > 0, V* > 0 and a unique family of strong solutions uv of the Euler or Navier-Stokes initial-boundary value problem on the time interval (0, T0), depending continuously on the viscosity coefficient $\nu$ for $0\leq\nu< $ V*. The solutions of the Navier-Stokes problem satisfy a Navier-type boundary condition. We give the information on the rate of convergence of the solutions of the Navier-Stokes problem to the solution of the Euler problem for $\nu\to 0+$.
    Mathematics Subject Classification: 35Q30, 35Q31, 76D05, 76D09.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(110) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint