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arXiv · 1512.00394

Viscous singular shock profiles for a system of conservation laws modeling two-phase flow

Ting-Hao Hsu
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Abstract

This paper is concerned with singular shocks for a system of conservation laws modeling incompressible two-phase fluid flow. We prove the existence of viscous profiles using the Geometric Singular Perturbation Theory. Weak convergence and growth rates of the unbounded family of solutions are also obtained.

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Ting-Hao Hsu. 2015-12-01. Viscous singular shock profiles for a system of conservation laws modeling two-phase flow. https://doi.org/10.1016/j.jde.2016.04.034

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