About the regularized Navier – Stokes equations

  title={About the regularized Navier – Stokes equations},
  author={Marco Cannone and Grzegorz Karch},
The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz space L is used to prove some asymptotic stability results for solutions with infinite energy. Next, this approach is applied to the analysis of two classical “regularized” Navier-Stokes systems. The first one was introduced by J. Leray and consists in “mollifying” the nonlinearity. The second one was proposed by J.L… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 39 references

Sur le mouvement d’un liquide visqueux emplissant l’espace

  • J. Leray
  • Acta Math. 63
  • 1934
Highly Influential
6 Excerpts

Remarks concerning a modified Navier-Stokes equation

  • S. Friedlander, N. Pavlović
  • to appear in Discrete and Continuous Dynamical…
  • 2003

Recent Developments in the Navier–Stokes Problem

  • P. G. Lemarié-Rieusset
  • Chapman & Hall/CRC Press, Boca Raton
  • 2002
3 Excerpts

Incompressible Navier-Stokes equations in abstract Banach spaces

  • M. Cannone, G. Karch
  • “Tosio Kato’s Method and Principle for Evolution…
  • 2001
1 Excerpt

On a stability theorem of the Navier–Stokes equations in a three dimensional exterior domain

  • Y. Shibata
  • “Tosio Kato’s Method and Principle for Evolution…
  • 2001

The Navier – Stokes equations in the weakL n spaces with time - dependent external force

  • M. Yamazaki
  • Math . Ann .
  • 2000

Similar Papers

Loading similar papers…