Singular limit of a dispersive Navier–Stokes system with an entropy structure
Keyword(s):
We prove a low Mach number limit for a dispersive fluid system [3] which contains third-order corrections to the compressible Navier–Stokes. We show that the classical solutions to this system in the whole space ℝn converge to classical solutions to ghost-effect systems [7]. Our analysis follows the framework in [4], which is built on the methodology developed by Métivier and Schochet [6] and Alazard [1] for systems up to the second order. The key new ingredient is the application of the entropy structure of the dispersive fluid system. This structure enables us to treat cases not covered in [4] and to simplify the analysis in [4].
2011 ◽
Vol 21
(01)
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pp. 7-27
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2012 ◽
Vol 44
(3)
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pp. 1760-1807
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2009 ◽
Vol 35
(1)
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pp. 68-88
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2012 ◽
Vol 14
(03)
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pp. 1250022
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2016 ◽
Vol 261
(12)
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pp. 6883-6914
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2018 ◽
Vol 461
(2)
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pp. 1748-1770
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2014 ◽
Vol 352
(9)
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pp. 685-690
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