Advanced Search
Article Contents
Article Contents

An example of large global smooth solution of 3 dimensional Navier-Stokes equations without pressure

Abstract Related Papers Cited by
  • We construct a global smooth solution of 3 dimensional Navier-Stokes equations in the torus, which also solves the heat equation. The solution is three dimensional and it can be arbitrarily large.
    Mathematics Subject Classification: 35Q30.


    \begin{equation} \\ \end{equation}
  • [1]

    C. Foias and J.-C. Saut, Asymptotic behavior, as $t \to \infty$, of solutions of Navier-Stokes equations and nonlinear spectral manifolds, Indiana Univ. Math. J., 33 (1984), 459-477.doi: 10.1512/iumj.1984.33.33025.


    Z. Lei, F. H. Lin and Y. Zhou, Private communications.


    G. Ponce, R. Racke, T. C. Sideris and E. S. Titi, Global stability of large solutions to the $3$D Navier-Stokes equations, Comm. Math. Phys., 159 (1994), 329-341.doi: 10.1007/BF02102642.


    M. E. Schonbek, T. P. Schonbek and Endre Süli, Large-time behaviour of solutions to the magnetohydrodynamics equations, Math. Ann., 304 (1996), 717-756.doi: 10.1007/BF01446316.

  • 加载中

Article Metrics

HTML views() PDF downloads(74) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint