## KOBAYASHI Teppei,

## Takeshita's examples for Leray's Inequality.

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

### Fulltext

PDF### 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 |
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MSC(Secondary) | 76D05 |

Uncontrolled Keywords | Stationary Navier-Stokes equations, Leray's Inequality |