Unique subsonic compressible potential flows in three -dimensionalducts

Li Liu

doi:10.3934/dcds.2010.27.357

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2010, Volume 27, Issue 1: 357-368. Doi: 10.3934/dcds.2010.27.357

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Unique subsonic compressible potential flows in three -dimensional ducts

Li Liu^1,

1.
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240

Received: May 31, 2009

Revised: November 30, 2009

Published: February 2010

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Abstract

We establish the uniqueness of subsonic potential flows in a three-dimensional finite duct, a semi-infinite duct and an infinite duct with quadrate sections, as well as flows in half space and whole space. Moreover, some extremum principles for the related elliptic equations are proved under suitable assumptions in unbounded domains.

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Mathematics Subject Classification: Primary: 35J25; Secondary: 76N10.

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Unique subsonic compressible potential flows in three -dimensional ducts

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