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arxiv: 1512.00394 · v1 · pith:LX63CCMBnew · submitted 2015-12-01 · 🧮 math.AP

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

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keywords singularconservationflowlawsmodelingprofilessystemtwo-phase
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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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