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February 2013 Takeshita's examples for Leray's Inequality
Teppei KOBAYASHI
Hokkaido Math. J. 42(1): 113-120 (February 2013). DOI: 10.14492/hokmj/1362406641

Abstract

It is well known that Leray's Inequality holds under stringent outflow condition (SOC). But Leray's Inequality does not hold under general outflow condition (GOC). This fact has been proved by Takeshita [8]. But, Takeshita's argument is very complicated. The author succeeds in giving an alternative proof which is simpler than Takeshita's. Moreover, the result is an improvement of Takeshita's result.

Citation

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Teppei KOBAYASHI. "Takeshita's examples for Leray's Inequality." Hokkaido Math. J. 42 (1) 113 - 120, February 2013. https://doi.org/10.14492/hokmj/1362406641

Information

Published: February 2013
First available in Project Euclid: 4 March 2013

zbMATH: 1284.35319
MathSciNet: MR3076301
Digital Object Identifier: 10.14492/hokmj/1362406641

Subjects:
Primary: 35Q30 , 76D05

Keywords: Leray's Inequality , stationary Navier-Stokes equations

Rights: Copyright © 2013 Hokkaido University, Department of Mathematics

Vol.42 • No. 1 • February 2013
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