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2007, 2007(Special): 758-767. doi: 10.3934/proc.2007.2007.758

On $L^2$-Boundedness of a $C_0$-Semigroup generated by the perturbed oseen-type operator arising from flow around a rotating body

Jiří Neustupa 1,

1. 

Mathematical Institute of the Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic

Received  September 2006 Revised  January 2007 Published  September 2007

We deal with a $C_0$–semigroup generated by the linearized problem for perturbations of a flow of an incompressible viscous fluid around a rotating body. Although the uniform growth bound of the semigroup is non–negative, we derive a sufficient condition for the uniform boundedness of the semigroup.
Keywords: modified Oseen operator, C_0–semigroups, Stability, rotating obstacle..
Mathematics Subject Classification: Primary: 35Q30; Secondary: 35Q35, 47D60, 76D0.
Citation: Jiří Neustupa. On $L^2$-Boundedness of a $C_0$-Semigroup generated by the perturbed oseen-type operator arising from flow around a rotating body. Conference Publications, 2007, 2007 (Special) : 758-767. doi: 10.3934/proc.2007.2007.758
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