Hokkaido Mathematical Journal

KOBAYASHI Teppei,

Takeshita's examples for Leray's Inequality.

Hokkaido Mathematical Journal, 42 (2013) pp.113-120

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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.

MSC(Primary)35Q30
MSC(Secondary)76D05
Uncontrolled KeywordsStationary Navier-Stokes equations, Leray's Inequality