About: Linearized stationary incompressible flow around rotating and translating bodies: Asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity     Goto   Sponge   NotDistinct   Permalink

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  • We consider a system arising by linearization of a model for stationary viscous incompressible flow around a translating and rotating body. An asymptotic profile of the gradient of the velocity is derived. The leading term of the profile involves derivatives of a fundamental solution constructed by R.B. Guenther and E.A. Thomann (2006) [23] R.B. Guenther and E.A. Thomann, The fundamental solution of the linearized Navier–Stokes equations for spinning bodies in three spatial dimensions – time dependent case. J. Math. Fluid Mech., 8 (2006), pp. 77–98. [23], for the system in question. In addition, we establish decay estimates of the second derivatives of the velocity.
  • We consider a system arising by linearization of a model for stationary viscous incompressible flow around a translating and rotating body. An asymptotic profile of the gradient of the velocity is derived. The leading term of the profile involves derivatives of a fundamental solution constructed by R.B. Guenther and E.A. Thomann (2006) [23] R.B. Guenther and E.A. Thomann, The fundamental solution of the linearized Navier–Stokes equations for spinning bodies in three spatial dimensions – time dependent case. J. Math. Fluid Mech., 8 (2006), pp. 77–98. [23], for the system in question. In addition, we establish decay estimates of the second derivatives of the velocity. (en)
Title
  • Linearized stationary incompressible flow around rotating and translating bodies: Asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity
  • Linearized stationary incompressible flow around rotating and translating bodies: Asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity (en)
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  • Linearized stationary incompressible flow around rotating and translating bodies: Asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity
  • Linearized stationary incompressible flow around rotating and translating bodies: Asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity (en)
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  • RIV/67985840:_____/12:00376643!RIV13-AV0-67985840
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  • P(GA201/08/0012), P(GAP201/11/1304), P(IAA100190804), Z(AV0Z10190503)
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  • 1
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  • 147128
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  • RIV/67985840:_____/12:00376643
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  • viscous incompressible flow; rotating body; rundamental solution; decay; asymptotic profile; Navier-Stokes system (en)
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  • US - Spojené státy americké
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  • [87AC4083B8C2]
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  • Journal of Differential Equations
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  • 252
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  • Deuring, P.
  • Kračmar, S.
  • Nečasová, Šárka
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  • 000296304400019
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-0396
number of pages
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  • 10.1016/j.jde.2011.08.037
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