The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 4, pp. 281-284

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We prove the existence of a weak solution and of a strong solution (locally in time) of the equations which govern the motion of viscous incompressible non-homogeneous fluids. Then we discuss the decay problem.
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     title = {The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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Salvi, Rodolfo. The equations of viscous incompressible nonhomogeneous fluids in noncylindrical domains: on the existence and regularity. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 4, pp. 281-284. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_4_a0/