3 papers
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…
math.AP2024
Dichotomy Results for the Electromagnetic Schrödinger Equation
Magdalena Czubak, Ian Miller, Svetlana Roudenko
The electromagnetic nonlinear Schrödinger (emNLS) equation is a variant of the well-studied nonlinear Schrödinger equation. In this article, we consider questions of global exist…