2 papers
physics.flu-dyn2025
Time-dependent nonlinear gravity-capillary surface waves with viscous dissipation and wind forcing
Josh Shelton, Paul Milewski, Philippe H. Trinh
We develop a time-dependent conformal method to study the effect of viscosity on steep surface waves. When the effect of surface tension is included, numerical solutions are found…
math.CA2024
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Josh Shelton, Samuel Crew, Philippe H. Trinh
The higher-order Stokes phenomenon can emerge in the asymptotic analysis of many problems governed by singular perturbations. Indeed, over the last two decades, the phenomena has a…