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 prove the rigorous convergence for the compressible to incompressible limit of the coupled dynamic of the two fluids.

Guerra, G., Schleper, V. (2016). A coupling between a 1D compressible-incompressible limit and the 1D p-system in the non smooth case. BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 47(1), 381-396 [10.1007/s00574-016-0146-x].

A coupling between a 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 prove the rigorous convergence for the compressible to incompressible limit of the coupled dynamic of the two fluids.
Articolo in rivista - Articolo scientifico
compressible Euler equations; hyperbolic conservation laws; incompressible limit; zero mach number limit;
compressible Euler equations; hyperbolic conservation laws; incompressible limit; zero mach number limit; Mathematics (all)
English
381
396
16
Guerra, G., Schleper, V. (2016). A coupling between a 1D compressible-incompressible limit and the 1D p-system in the non smooth case. BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 47(1), 381-396 [10.1007/s00574-016-0146-x].
Guerra, G; Schleper, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/138589
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