Thin shell limit and the derivation of the viscosity operator on the ellipsoid
Analysis of PDEs
2025-11-14 v1
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.
Keywords
Cite
@article{arxiv.2511.10579,
title = {Thin shell limit and the derivation of the viscosity operator on the ellipsoid},
author = {Chi Hin Chan and Magdalena Czubak and Padi Fuster Aguilera},
journal= {arXiv preprint arXiv:2511.10579},
year = {2025}
}
Comments
35 pages;