Danchin, R. Incompressible fluids with variable density. (Fluides incompressibles à densité variable.) (French) Zbl 1063.35132 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2002-2003, Exp. No. XI, 16 p. (2003). The paper is devoted to several aspects of the behavior of an incompressible fluid with variable density. One proves successively: existence and uniqueness of global solutions, existence and uniqueness in two dimensions, uniqueness of regular solutions, energy inequality. Reviewer: Valeriu Al. Sava (Iaşi) MSC: 35Q35 PDEs in connection with fluid mechanics 76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids Keywords:viscous fluids; variable density; existence; uniqueness PDF BibTeX XML Cite \textit{R. Danchin}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2002--2003, Exp. No. XI, 16 p. (2003; Zbl 1063.35132) Full Text: Numdam EuDML OpenURL