The Leray problem for 2D inhomogeneous fluids
Farid Ammar-Khodja ; Marcelo M. Santos
Banach Center Publications, Tome 68 (2005), p. 51-59 / Harvested from The Polish Digital Mathematics Library
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We formulate the Leray problem for inhomogeneous fluids in two dimensions and outline the proof of the existence of a solution. There are two kinds of results depending on whether the given value for the density is a continuous function or only an L∞ function. In the former case, the given densities are attained in the sense of uniform convergence and in the latter with respect to weak-* convergence.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282210 
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     author = {Farid Ammar-Khodja and Marcelo M. Santos},
     title = {The Leray problem for 2D inhomogeneous fluids},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {51-59},
     zbl = {1101.35346},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-3}
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Farid Ammar-Khodja; Marcelo M. Santos. The Leray problem for 2D inhomogeneous fluids. Banach Center Publications, Tome 68 (2005) pp. 51-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-3/