Solitary Waves in Shallow Water Hydrodynamics and Magnetohydrodynamics in Rotating Spherical Coordinates, Geophysical & Astrophysical Fluid Dynamics, 112(1), 2018
Solitary Waves in Shallow Water Magnetohydrodynamics, Geophysical & Astrophysical Fluid Dynamics, 111(2), 2017
Weakly Nonlinear Magnetic Equatorial Kelvin Waves in Rotating Spherical Coordinates, to appear in Geophysical & Astrophysical Fluid Dynamics.
Weakly Nonlinear Shallow Water Magnetohydrodynamic Waves, Geophysical and Astrophysical Fluid Dynamics, 108(3), 2014
Hydromagnetic Waves in a Thin Rotating Spherical Shell, Geophysical and Astrophysical Fluid Dynamics,105(6), 2011.
Nonlinear Waves in Rotating Magnetohydrodynamics, Geophysical and Astrophysical Fluid Dynamics, 103(4), 2009.
Resistive wave breaking in the Earth's outer core, Geophysical and Astrophysical Fluid Dynamics, 99(5), 2005
Geophysical fluid dynamics: I study wave propagation in geophysical fluids (oceans, atmosphere, Earth's deep interior) using simplifying approximations. My most recent work involves wave propagation associated with the behavior of the Earth's magnetic field.
NSF Grant EAR-8606394, RUI: Weakly nonlinear hydromagnetic waves in a rotating spherical shell, 7/86-2/88, $25,006.
NSF Grant EAR-8802767, RUI: Hydromagnetic waves in a thick rotating spherical shell, 8/88-1/91, $37,259.
NSF Grant EAR-9204460, RUI: Slow hydromagnetic waves in a magnetostrophic regime, 8/92-7/94, $40,000.
My primary interest is in geophysical and astrophysical fluid dynamics. I use certain approximations to simplify the complicated equations governing these phenomena. The problems I usually work on are related to the generation and behavior of the magnetic fields of various objects, including the Earth, other planets, and the sun. I have a secondary interest (but haven't done much) in mathematically modeling certain biological problems, in particular, some problems in cell signaling.