A simple proof of global solvability of 2-D Navier-Stokes equations in unbounded domains
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Authors
Fernando, B.P.W.
Sritharan, S.S.
Xu, M.
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Date of Issue
2010
Date
2010
Publisher
Monterey, California. Naval Postgraduate School
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Abstract
In this paper we provide an elementary proof of the classical result of J.L. Lions and G. Prodi on the global unique solvability
of two-dimensional Navier-Stokes equations that avoids compact embedding and strong convergence. The method applies to unbounded
domains without special treatment. The essential idea is to utilize the
local monotonicity of the sum of the Stokes operator and the inertia
term. This method was first discovered in the context of
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Article
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Graduate School of Engineering and Applied Sciences
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Citation
Fernando, B. P. W., S. S. Sritharan, and M. Xu. "A simple proof of global solvability of 2-D Navier-Stokes equations in unbounded domains." Differential and Integral Equations 23.3/4 (2010): 223-235.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.