publication . Preprint . 2007

Boundary layers and the vanishing viscosity limit for incompressible 2D flow

Filho, Milton C. Lopes;
Open Access English
  • Published: 06 Dec 2007
Comment: 28 pages
arXiv: Physics::Fluid Dynamics
free text keywords: Mathematics - Analysis of PDEs, 76D10, 35Q30
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31 references, page 1 of 3

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[13] J. Kelliher, On Kato's condition for vanishing viscosity, Indiana Univ. Math. J. 56 (2007), 1711-1721.

[14] J. Kelliher, M. C. Lopes Filho and H. J. Nussenzveig Lopes, Vanishing viscosity limit for an expanding domain in space, in preparation, 2008.

[15] G. Lieberman, Second order parabolic differential equations. World Scientific Publishing Co., Inc., River Edge, NJ, 1996.

[16] J.-L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod; Gauthier-Villars, Paris 1969.

[17] M. Lombardo, M. Cannone and M. Sammartino, Well-posedness of the boundary layer equations, SIAM J. Math. Anal. 35 (2003), no. 4, 987-1004.

[18] M. Lopes Filho, A. Mazzucato and H. Nussenzveig Lopes, Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence, Arch. Rat. Mech. Anal., 179 (2006), 353- 387.

[19] M. Lopes Filho, A. Mazzucato and H. Nussenzveig Lopes, Vanishing viscosity limit for incompressible flow inside a rotating circle, to appear, Phys. D, 2008. [OpenAIRE]

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