On hyperbolicity and solution properties of the continual models of micro/nanoparticle aggregation and sedimentation in concentrated suspensions

Baranets, V. O., Kizilova, N. M. (2019). On hyperbolicity and solution properties of the continual models of micro/nanoparticle aggregation and sedimentation in concentrated suspensions. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics(4), 60–63. https://doi.org/10.17721/1812-5409.2019/4.7

In continual mechanics sedimentation of aggregating particles in concentrated suspensions are determined by the mass and momentum conservation laws for each component of the suspension. The resulting quasilinear system of differential equations governing the flow could be hyperbolic, strongly strictly or weakly hyperbolic depending on the model accepted. The type and Eigenvalues of the matrix influence the characteristics of the pattern formation during the sedimentation that is essential for the model application in modern medical, microbiological and nanofluidic technologies. In this paper the hyperbolicity of the three-phase model of aggregation and sedimentation of micro/nanoparticles is studied.Key words: Aggregation, Sedimentation, Multiphase Continuous Media, Hyperbolic Systems, Eigenvalues, Characteristics.Pages of the article in the issue: 60 - 63Language of the article: English