2D Density-dependent Leray Problem with a Discontinuous Density
Ammar Khodja, Farid ; Santos, Marcelo M.
Methods Appl. Anal., Tome 13 (2006) no. 1, p. 321-336 / Harvested from Project Euclid
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We consider the existence of a solution for the stationary Navier-Stokes equations describing an inhomogeneous incompressible fluid in a two dimensional unbounded Y-shaped domain. We show the existence of a weak solution such that the density and velocity of the fluid tend to densities and parallel flows, respectively, prescribed at some ‘ends’ of the domain. We allow prescribed densities at different ends to have distinct values. In fact, we obtain the density in the L$\infty$-space.
Publié le : 2006-12-15
Classification:  stationary Navier-Stokes equations,  incompressible flow,  inhomogeneous fluid,  Leray problem,  discontinuous density,  35Q30,  76D05 
@article{1202219966,
     author = {Ammar Khodja, Farid and Santos, Marcelo M.},
     title = {2D Density-dependent Leray Problem with a Discontinuous Density},
     journal = {Methods Appl. Anal.},
     volume = {13},
     number = {1},
     year = {2006},
     pages = { 321-336},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1202219966}
}

Ammar Khodja, Farid; Santos, Marcelo M. 2D Density-dependent Leray Problem with a Discontinuous Density. Methods Appl. Anal., Tome 13 (2006) no. 1, pp.  321-336. http://gdmltest.u-ga.fr/item/1202219966/