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• W2023892319 abstract "We establish a low Mach number limit for classical solutions over the whole space of a compressible fluid dynamic system that includes dispersive corrections to the Navier–Stokes equations. The limiting system is similar to a ghost effect system [Y. Sone, Kinetic Theory and Fluid Dynamics, Model. Simul. Sci. Eng. Technol., Birkhäuser, Boston, 2002]. Our analysis builds upon the framework developed by Métivier and Schochet [Arch. Ration. Mech. Anal., 158 (2001), pp. 61–90] and Alazard [Arch. Ration. Mech. Anal., 180 (2006), pp. 1–73] for nondispersive systems. The strategy involves establishing a priori estimates for the slow motion as well as a priori estimates for the fast motion. The desired convergence is obtained by establishing the local decay of the energy of the fast motion." @default.
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• W2023892319 date "2012-01-01" @default.
• W2023892319 modified "2023-10-03" @default.
• W2023892319 title "A Low Mach Number Limit of a Dispersive Navier–Stokes System" @default.
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• W2023892319 doi "https://doi.org/10.1137/100818765" @default.
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