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Viscous singular shock profiles for a system of conservation laws modeling two-phase flow
- Publication Year :
- 2015
-
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.
- Subjects :
- Mathematics - Analysis of PDEs
35L65, 35L67, 34E15, 34C37
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1512.00394
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jde.2016.04.034