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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 3
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Original Articles

On the Navier–Stokes equations with variable viscosity in a noncylindrical domain

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Pages 287-313 | Received 25 Aug 2005, Accepted 21 Nov 2006, Published online: 13 Apr 2007

References

  • Ladyzhenskaya , OA . 1989 . The Mathematical Theory of Viscous Incompressible Flow, , 2nd Edn , New York, London : Gordon and Breach .
  • Leray , J . 1934 . Essai sur les mouvements plans d'un liquide visqueux que limitent des parois. . Journal de Mathematiques Pures et Applliquees , XIII : 331 – 418 .
  • Lions , JL . 1969 . Quelques Méthodes de Résolution Des Problèmes Aux Limites Non Linéaires , Paris : Paris .
  • Lions , JL and Prodi , G . 2003 . “ Un théorème d'existence et unicité dans les equations de Navier–Stokes en dimension 2 ” . Vol. 1 , 117 Paris : EDP-sciences . C. R. Acad. Sci. Paris, Vol. 248, 1959, pp. 319–321; Ouvres Choisies de Jacques-Louis Lions
  • Miranda , MM and Ferrel , JL . 1997 . The Navier–Stokes equation in noncylindrical domain. . Computational and Applied Mathematics , 16 ( 3 ) : 247 – 265 .
  • Tartar , L . 1999 . Partial Differential Equations Models in Oceanography , Pittsburg : Carnegie Mellon University .
  • Temam , R . 1979 . Navier–Stokes Equations, Theory and Numerical Analysis , Amsterdam : North-Holland Publishing Company .

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