Revista Integración, temas de matemáticas.
Vol. 23 Núm. 1 (2005): Revista Integración, temas de matemáticas
Artículos científicos

Continuous dependence of very weak solutions for the stationary Navier-Stokes equations

E. J. Villamizar-Roa
Universidad Industrial de Santander
Biografía

Publicado 2005-02-17

Palabras clave

  • very weak solutions,
  • Navier-Stokes system,
  • continuous dependence

Cómo citar

Villamizar-Roa, E. J. (2005). Continuous dependence of very weak solutions for the stationary Navier-Stokes equations. Revista Integración, Temas De matemáticas, 23(1), 11–16. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/389

Resumen

In this work we show the continuous dependence of the very weak solutions for the stationary Navier- tokes system with respect to boundary data belonging to space  L2(T). 

 

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Referencias

[1]C. Conca, “Étude d’un fluide traversant une paroi perforée”, I, II,J. Math. PuresAppl.,66(1987), 1-69.Vol. 23, No. 1, 2005.

[2]G. P. Galdi,An Introduction to the Mathematical Theory of the Navier-StokesEquations, I, II, Springer-Verlag, Berlin, 1994.

[3]J. L. LionsandE. Magenes, “Problèmes aux limites non homogènes et appli-cations”, Vol 1,Dunod, Paris, (1968).

[4]E. Marusic-Paloka, “Solvability of the Navier-Stokes System withL2Boun-dary Data”,Appl. Math. Optimization.41(2000), 365-375.

[5] R. Temam,Navier-Stokes equations, Theory and Nmerical Analysis, North-Holland, Amsterdam, 1984.