Identification of shock profile solutions for bidisperse suspensions

Article

Abstract

This contribution is a condensed version of an extended paper, where a contact manifold emerging in the interior of the phase space of a specific hyperbolic system of two nonlinear conservation laws is examined. The governing equations are modelling bidisperse suspensions, which consist of two types of small particles differing in size and viscosity that are dispersed in a viscous fluid. Based on the calculation of characteristic speeds, the elementary waves with the origin as left Riemann datum and a general right state in the phase space are classified. In particular, the dependence of the solution structure of this Riemann problem on the contact manifold is elaborated.

Keywords

system of nonlinear conservation laws bidisperse suspension characteristic velocities contact manifold Hugoniot locus Riemann problem 

Mathematical subject classification

35L45 76T30 

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Copyright information

© Sociedade Brasileira de Matemática 2016

Authors and Affiliations

  1. 1.Departamento de Ciencias Matemáticas y Físicas, Facultad de IngenieríaUniversidad Católica de TemucoTemucoChile
  2. 2.Instituto Tecnológico Autónomo de MéxicoMexico CityMéxico D.F.

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