Uniqueness of the $1$D Compressible to Incompressible Limit

Autor:	Colombo, Rinaldo M., Guerra, Graziano
Rok vydání:	2016
Předmět:	Mathematics - Analysis of PDEs 35L65 35Q35 76N99
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.03329 Zobrazit plný text záznamu View this record from Arxiv