Thin Shell Limit and the Derivation of the Viscosity Operator on the Ellipsoid
Abstract
ABSTRACT In this paper, we derive four new candidates for an intrinsic viscosity operator on an ellipsoid by using the heuristic of the thin shell limit along the scaling direction of the ellipsoid. We show that the general method of the thin shell limit through the asymptotic expansion depends on the averaging method used. We consider both the homogeneous Navier and Hodge boundary conditions. We also obtain a geometric representation of these two boundary conditions.
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Nonlinear Partial Differential Equations
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- Studies in Applied Mathematics
- Volume
- 157
- Issue
- 3
- Publication date
- 1 September 2026
- Language
- EN