Compressible fluids in a capillary tube
Maria Athanassenas and Robert Finn
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Submission date: 15. Dec. 2004
published in: Pacific journal of mathematics, 224 (2006) 2, p. 201-229
We study a mathematical model for a compressible liquid in a capillary tube. We establish necessary and sucient conditions for existence and uniquenes of solutions, and we provide general height estimates for solutions, depending on the geometrical structure of the denition domain.