About: Multi-scale analysis of compressible viscous and rotating fluids     Goto   Sponge   NotDistinct   Permalink

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Description
  • We study a singular limit for the compressible Navier-Stokes system when the Mach and Rossby numbers are proportional to certain powers of a small parameter ε. If the Rossby number dominates the Mach number, the limit problem is represented by the 2-D incompressible Navier-Stokes system describing the horizontal motion of vertical averages of the velocity field. If they are of the same order then the limit problem turns out to be a linear, 2-D equation with a unique radially symmetric solution. The effect of the centrifugal force is taken into account.
  • We study a singular limit for the compressible Navier-Stokes system when the Mach and Rossby numbers are proportional to certain powers of a small parameter ε. If the Rossby number dominates the Mach number, the limit problem is represented by the 2-D incompressible Navier-Stokes system describing the horizontal motion of vertical averages of the velocity field. If they are of the same order then the limit problem turns out to be a linear, 2-D equation with a unique radially symmetric solution. The effect of the centrifugal force is taken into account. (en)
Title
  • Multi-scale analysis of compressible viscous and rotating fluids
  • Multi-scale analysis of compressible viscous and rotating fluids (en)
skos:prefLabel
  • Multi-scale analysis of compressible viscous and rotating fluids
  • Multi-scale analysis of compressible viscous and rotating fluids (en)
skos:notation
  • RIV/67985840:_____/12:00380309!RIV13-AV0-67985840
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  • P(GA201/09/0917), Z(AV0Z10190503)
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  • 3
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  • 152463
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  • RIV/67985840:_____/12:00380309
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  • rotating fluid; compressible Navier-Stokes system; singular limit (en)
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  • DE - Spolková republika Německo
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  • [3389BA506D58]
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  • Communications in Mathematical Physics
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  • 314
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  • Feireisl, Eduard
  • Novotný, A.
  • Gallagher, I.
  • Gerard-Varet, D.
http://linked.open...ain/vavai/riv/wos
  • 000308042700003
http://linked.open...n/vavai/riv/zamer
issn
  • 0010-3616
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00220-012-1533-9
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