Compressible fluids in a capillary tube

• Autores: María Athanassenas, Robert Finn
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 224, Nº 2, 2006, págs. 201-230
• Idioma: inglés
• DOI: 10.2140/pjm.2006.224.201
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• Resumen

  • We study a mathematical model for a compressible liquid in a capillary tube. We establish necessary and suficient conditions for existence and for uniqueness or near uniqueness of solutions, and we provide general height estimates for solutions, depending on the geometrical structure of the definition domain. We show that solutions exhibit discontinuous dependence properties in domains with corners, analogous to those that are known for the classical capillarity equation.