3 papers
math.AP2026
Interface problems of mixed spatial order
Dionyssios Mantzavinos, Ravindra Pethiyagoda, Dave Smith
We solve interface problems on the line between various constant coefficient linear evolution partial differential equations. Our prototypical examples are the heat, linear Schröd…
physics.flu-dyn2026
A generalized inner product-based wave scattering from an underwater source in a compressible ocean
R. Pethiyagoda, S. Das, B. Wilks +1
Motivated by applications to underwater explosions and volcanic eruptions, this paper considers the evolution of an initial pressure disturbance in the ocean, including effects due…
physics.flu-dyn2025
Time-domain pressure and surface wave propagation over generic topography due to sea floor motion
Ravindra Pethiyagoda, Santu Das, Michael H. Meylan
The surface gravity wave evolution, imitating tsunamis triggered by the ocean floor's arbitrary temporal motion over a generic seafloor topography, is investigated using the linear…