3 papers
math.AP2026
Real analytic solutions to the divergence equation
Chi Hin Chan, Jun-Shuo Chen, Cheng-Fang Su
In this paper, we develop a differential-topological method to yield explicit real analytic solutions to the divergence equation on any annali $A(R_1…
math.AP2025
Thin shell limit and the derivation of the viscosity operator on the ellipsoid
Chi Hin Chan, Magdalena Czubak, Padi Fuster Aguilera
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 el…
math.DG2025
The Gauss formulas for Laplacians on submanifolds
Chi Hin Chan, Magdalena Czubak
There are several types of Laplacians of a vector field on a Riemannian manifold. These include the Bochner and the Hodge Laplacian. The Gauss formula for the Levi-Civita connectio…