papers
Publications (4)
math.AP2024
Global Bifurcation of Steady Surface Capillary Waves on a Droplet
Gary Moon, Yilun Wu
We construct global curves of rotational traveling wave solutions to the water wave equations on a compact domain. The real analytic interface is subject to surface tension, w…
math.AP2022
Local Well-Posedness of the Gravity-Capillary Water Waves System in the Presence of Geometry and Damping
Gary Moon
We consider the gravity-capillary water waves problem in a domain with substantial geometric features. Namely, we consider a variable bo…
math.AP2017
Solutions to a two-dimensional, Neumann free boundary problem
Sarah Raynor, John A. Gemmer, Gary Moon
We explore regularity properties of solutions to a two-phase elliptic free boundary problem near a Neumann fixed boundary in two dimensions. Consider a function u, which is harmoni…
math.AP2022
A Toy Model for Damped Water Waves
Gary Moon
We consider a toy model for a damped water waves system in a domain . The toy model is based on the paradifferential water waves equation…