Abstract |
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.
|
Keywords
capillary surfaces, capillary tube, mean curvature, compressible fluid, elliptic nonlinear second-order PDE
|
Mathematical Subject Classification
Primary: 76B45, 35J20, 53A10
|
Authors
|