We consider two compressible immiscible fluids in one space dimension and in the isentropic approximation. The first fluid is surrounded and in contact with the second one. As the sound speed of the first fluid diverges to infinity, we present the proof of rigorous convergence for the fully non-linear compressible to incompressible limit of the coupled dynamics of the two fluids. A linear example is considered in detail, where fully explicit computations are possible.

Colombo, R., Guerra, G. (2016). A coupling between a non-linear 1D compressible-incompressible limit and the 1D p-system in the non smooth case. NETWORKS AND HETEROGENEOUS MEDIA, 11(2), 313-330 [10.3934/nhm.2016.11.313].

A coupling between a non-linear 1D compressible-incompressible limit and the 1D p-system in the non smooth case

GUERRA, GRAZIANO
2016

Abstract

We consider two compressible immiscible fluids in one space dimension and in the isentropic approximation. The first fluid is surrounded and in contact with the second one. As the sound speed of the first fluid diverges to infinity, we present the proof of rigorous convergence for the fully non-linear compressible to incompressible limit of the coupled dynamics of the two fluids. A linear example is considered in detail, where fully explicit computations are possible.
Articolo in rivista - Articolo scientifico
Compressible Euler equations; Hyperbolic conservation laws; Incompressible limit;
Compressible Euler equations; Hyperbolic conservation laws; Incompressible limit; Statistics and Probability; Engineering (all); Computer Science Applications1707 Computer Vision and Pattern Recognition; Applied Mathematics
English
2016
11
2
313
330
none
Colombo, R., Guerra, G. (2016). A coupling between a non-linear 1D compressible-incompressible limit and the 1D p-system in the non smooth case. NETWORKS AND HETEROGENEOUS MEDIA, 11(2), 313-330 [10.3934/nhm.2016.11.313].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/138591
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