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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This article is part of the topical collection “Hyperbolic PDEs, Fluids, Transport and Applications: Dedicated to Alberto Bressan for his 60th birthday” guest edited by Fabio Ancona, Stefano Bianchini, Pierangelo Marcati, Andrea Marson.
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Colombo, R.M., Guerra, G. Uniqueness of the 1D compressible to incompressible limit. Nonlinear Differ. Equ. Appl. 24, 52 (2017). https://doi.org/10.1007/s00030-017-0474-6
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DOI: https://doi.org/10.1007/s00030-017-0474-6