Journal of the
Korean Mathematical Society
JKMS
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ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2012; 49(1): 113-138
Printed January 1, 2012
https://doi.org/10.4134/JKMS.2012.49.1.113
Copyright © The Korean Mathematical Society.
Existence of strong mild solution of the Navier-Stokes equations in the half space with nondecaying initial data
Hyeong-Ohk Bae and Bum Ja Jin
Ajou University, Mokpo National University
We construct a mild solutions of the Navier-Stokes equations in half spaces for nondecaying initial velocities. We also obtain the uniform bound of the velocity field and its derivatives.
Keywords: Navier-Stokes, nondecaying data, existence, uniqueness
MSC numbers: 35Q30, 76D05
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