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An existence theorem for Poiseuille flow with surface tension in an open channel

✍ Scribed by Erik B. Hansen; V. A. Solonnikov; B. Brosowski

Publisher: John Wiley and Sons
Year: 1990
Tongue: English
Weight: 392 KB
Volume: 13
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670130103

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✦ Synopsis

Abstract

Poiseuille‐type flow in an open channel is studied taking surface tension and wall adhesion into account. A proof is presented of the existence of a solution under certain conditions.

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A remark on the pressure for the Navier–

A remark on the pressure for the Navier–Stokes flows in 2-D straight channel with an obstacle

✍ H. Morimoto 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 136 KB

## Abstract Let T=ℝ×(‐1,1) and &ℴ⊂ℝ^2^ be a smoothly bounded open set, closure of which is contained in __T__. We consider the stationary Navier–Stokes flows in $\Omega {:=} T \backslash \bar{\scriptstyle{O}}$. In general, the pressure is determined up to a constant. Since Ω has two extremities, we