Uniqueness of the 1D compressible to incompressible limit

Uniqueness of the 1D compressible to incompressible limit Consider two compressible immiscible fluids in 1D in the isentropic approximation. The first fluid is surrounded and in contact with the second one. As the Mach number of the first fluid vanishes, the coupled dynamics of the two fluids results as the compressible to incompressible limit and is known to satisfy an ODE–PDE system. Below, a characterization of this limit is provided, ensuring its uniqueness. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Differential Equations and Applications NoDEA Springer Journals

Uniqueness of the 1D compressible to incompressible limit

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Analysis
ISSN
1021-9722
eISSN
1420-9004
D.O.I.
10.1007/s00030-017-0474-6
Publisher site
See Article on Publisher Site

Abstract

Consider two compressible immiscible fluids in 1D in the isentropic approximation. The first fluid is surrounded and in contact with the second one. As the Mach number of the first fluid vanishes, the coupled dynamics of the two fluids results as the compressible to incompressible limit and is known to satisfy an ODE–PDE system. Below, a characterization of this limit is provided, ensuring its uniqueness.

Journal

Nonlinear Differential Equations and Applications NoDEASpringer Journals

Published: Aug 5, 2017

References

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