On the Motion of Non-homogeneous Fluids in the Presence of Diffusion
On the Motion of Non-homogeneous Fluids in the Presence of Diffusion
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DOI：
10.1016/0022-247x(82)90033-6
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发表时间：
1982
影响因子：
1.3
通讯作者：
H. B. Veiga;R. Serapioni;A. Valli
中科院分区：
文献类型：
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作者：
H. B. Veiga;R. Serapioni;A. Valli
在本文中，我们研究的运动的非粘性流体的两个组成部分，都是不可压缩的，说，饱和盐水和水，考虑到这些组件之间的扩散。例如，在Frank和Kamenetskii [6]中获得了模型的方程，并且在Kazat 'ev和Kuznetsov [8]以及Kazhikhov和Smagulov [9，lo]中研究了粘性情况。关于这类问题的介绍，也可以参见库兹涅佐夫[111]。注意，在[S-lo]中，仅对于粘度D足够大的流体，即u> qo;; cyo，才解决问题。（*）由于我们得到了非粘性流体（D= 0）解的存在唯一性，因此条件（*）可能被取消。设pi= const.> 0，i= 1，2，为混合物各组分的特征密度，v（“=~（“（2，x），uf ~ 2）= v”~“（t，x））为各组分的速度，c= c（t，x），d= d（t，x）为盐水的质量浓度和体积浓度。
In 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; ie,, u> qo;; cyo.(*)Since we get the existence and uniqueness of the solution for non-viscous fluid (D= 0), condition (*) can probably be suppressed. Let pi= const.> 0, i= 1, 2, be the characteristic densities of the components of the mixture, v (”=~(“(2, x), uf2)=~‘~‘(t, x) their velocities and c= c (t, x), d= d (t, x) the mass and volume concentration of the salt water.