Temporal and spatial decay rates of Navier-Stokes solutions in exterior domains
Bull. Korean Math. Soc. 2007 Vol. 44, No. 3, 547-567
Printed September 1, 2007
Hyeong-Ohk Bae and Bum Ja Jin
Ajou University, Mokpo National University
Abstract : We obtain spatial-temporal decay rates of weak solutions of incompressible flows in exterior domains. When a domain has a boundary, the pressure term yields difficulties since we do not have enough information on the pressure term near the boundary. For our calculations we provide an idea which does not require any pressure information. We also estimated the spatial and temporal asymptotic behavior for strong solutions.
Keywords : Navier-Stokes equations, temporal decay, spatial decay, weak solution, strong solution, exterior domain
MSC numbers : 35Q30, 76D05
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