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Incompressible fluids with variable density. (Fluides incompressibles à densité variable.) (French) Zbl 1063.35132

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.

MSC:

35Q35 PDEs in connection with fluid mechanics
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
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