On the motion of non-homogeneous fluids in the presence of diffusion
1982; Elsevier BV; Volume: 85; Issue: 1 Linguagem: Inglês
10.1016/0022-247x(82)90033-6
ISSN1096-0813
AutoresH. Beirão da Veiga, Raul Serapioni, Alberto Valli,
Tópico(s)advanced mathematical theories
ResumoIn this paper we study the motion of a non-viscous fluid consisting of two components, both incompressible, say, saturated salt water and water, taking into consideration the diffusion among these components. The equations of the model are obtained, for example, in Frank and Kamenetskii [6], and the viscous case is studied in Ignat’ev and Kuznetsov [8] and Kazhikhov and Smagulov [9, lo]. For a presentation of this kind of problems see also Kuznetsov [ 111. Observe that in [S-lo] the problem is solved only for fluids whose viscosity ,D is sufficiently large; i.e.,
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