A Low Mach Number Limit of a Dispersive Navier–Stokes System
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. Si...
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| Veröffentlicht in: | SIAM journal on mathematical analysis 2012-01, Vol.44 (3), p.1760-1807 |
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| container_title | SIAM journal on mathematical analysis |
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| creator | Levermore, C. David Sun, Weiran Trivisa, Konstantina |
| description | 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. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1137/100818765 |
| format | Article |
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David ; Sun, Weiran ; Trivisa, Konstantina</creator><creatorcontrib>Levermore, C. David ; Sun, Weiran ; Trivisa, Konstantina</creatorcontrib><description>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. 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| identifier | ISSN: 0036-1410 |
| ispartof | SIAM journal on mathematical analysis, 2012-01, Vol.44 (3), p.1760-1807 |
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| language | eng |
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| source | LOCUS - SIAM's Online Journal Archive |
| subjects | Applied mathematics Heat Navier-Stokes equations Reynolds number |
| title | A Low Mach Number Limit of a Dispersive Navier–Stokes System |
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