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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
- 1.0376643 - MÚ 2013 RIV US eng J - Článek v odborném periodiku
Deuring, P. - Kračmar, S. - Nečasová, Šárka
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.
Journal of Differential Equations. Roč. 252, č. 1 (2012), s. 459-476. ISSN 0022-0396. E-ISSN 1090-2732
Grant CEP: GA AV ČR IAA100190804; GA ČR(CZ) GAP201/11/1304
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: viscous incompressible flow * rotating body * rundamental solution * decay * asymptotic profile * Navier-Stokes system
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.480, rok: 2012
http://www.sciencedirect.com/science/article/pii/S0022039611003573
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.
Trvalý link: http://hdl.handle.net/11104/0208993
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