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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
92/2004

Compressible fluids in a capillary tube

Maria Athanassenas and Robert Finn

Abstract

We study a mathematical model for a compressible liquid in a capillary tube. We establish necessary and sufficient conditions for existence and uniquenes of solutions, and we provide general height estimates for solutions, depending on the geometrical structure of the definition domain.

Received:
Dec 15, 2004
Published:
Dec 15, 2004

Related publications

inJournal
2006 Repository Open Access
Maria Athanassenas and Robert Finn

Compressible fluids in a capillary tube

In: Pacific journal of mathematics, 224 (2006) 2, pp. 201-229