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
Colombo, R., Guerra, G. (2017). Uniqueness of the 1D compressible to incompressible limit. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(5) [10.1007/s00030-017-0474-6].
Uniqueness of the 1D compressible to incompressible limit
Guerra, G.
2017
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
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