Resumen de Compressible fluids in a capillary tube

María Athanassenas, Robert Finn

• 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.