Boundary value problems for flows with a surface tension that is a function of space variables
Abstract
Within the framework of the theory of small perturbations the existence and uniqueness of solutions is investigated for problems of certain flows of an incompressible viscous or perfect fluid with a nonconstant surface tension. The interface condition at the free surface is shown to be associated with a Lagrangian function containing a surface energy term. The boundary value behavior at viscosities tending to zero is also investigated.
- Publication:
-
Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
- Pub Date:
- August 1974
- Bibcode:
- 1974CRASM.279..301N
- Keywords:
-
- Boundary Value Problems;
- Ideal Fluids;
- Incompressible Flow;
- Interfacial Tension;
- Small Perturbation Flow;
- Viscous Flow;
- Euler Equations Of Motion;
- Existence Theorems;
- Free Boundaries;
- Partial Differential Equations;
- Uniqueness Theorem;
- Fluid Mechanics and Heat Transfer