Incompressible limit for a fluid mixture
نویسندگان
چکیده
In this paper we discuss the incompressible limit for multicomponent fluids in isothermal ideal case. Both a direct limit-passage equation of state and low Mach-number rescaled PDEs are investigated. Using relative energy inequality, obtain convergence results densities velocity-field under condition that model possesses sufficiently smooth solution, which is granted at least short time. Moreover, comparison to single-component flows, uniform estimates pressure needed case because velocity field not divergence-free. We show certain constellations mobility tensor allow control gradients entropic variables yield L1.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-real World Applications
سال: 2023
ISSN: ['1878-5719', '1468-1218']
DOI: https://doi.org/10.1016/j.nonrwa.2023.103859