Two compressible immiscible fluids in 1D and in the isentropic approximation are considered. The first fluid is surrounded and in contact with the second one. As the Mach number of the first fluid vanishes, we prove the rigorous convergence for the fully nonlinear compressible to incompressible limit of the coupled dynamics of the two fluids. A key role is played by a suitably refined wave front tracking algorithm, which yields precise BV, L1 and weak∗convergence estimates, either uniform or explicitly dependent on the Mach number.
Colombo, R., & Guerra, G. (2016). BV Solutions to 1D isentropic Euler equations in the zero Mach number limit. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 13(4), 685-718 [10.1142/S0219891616500181].
Citazione: | Colombo, R., & Guerra, G. (2016). BV Solutions to 1D isentropic Euler equations in the zero Mach number limit. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 13(4), 685-718 [10.1142/S0219891616500181]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | BV Solutions to 1D isentropic Euler equations in the zero Mach number limit | |
Autori: | Colombo, R; Guerra, G | |
Autori: | GUERRA, GRAZIANO (Ultimo) | |
Data di pubblicazione: | 2016 | |
Lingua: | English | |
Rivista: | JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0219891616500181 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
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2016-JHDE-Colombo R.M. Guerra G.-BV Solutions to 1D isentropic Euler equations in the zero mach number limit.pdf | Publisher's version | Administrator Richiedi una copia | ||
IncompressibleLimit_final_for_JHDE.pdf | Postprint | Open Access Visualizza/Apri |