Professor, Mathematical Sciences
Ph.D., Johns Hopkins University, 1973
S.B., MIT, 1967
- The theory of the stability of fluid flows.
- Common applications are to phenomena in the atmosphere, the oceans, to problems of the motion of ships and aircraft and to internal machinery.
- Modern approaches involve new techniques in operator theory, energy methods and dynamical systems.
- Current research interests are in (i) stability of rotating magneto-hydrodynamic flows, (ii) more complicated geophysical flows such as groundwater, for which mathematical models are still being developed.
- "A unified solution of several classical hydrodynamic stability problems", Quarterly of Applied Mathematics, Vol. XXVI, Number 1, Mar. 2018, pp. 1–17
- " Strong exchange of stabilities in rapidly rotating parabolic Poiseuille flow" Applied Mathematics Letters, Vol. 48, Oct. 2015, pp. 156-161.
- “Solving singular boundary value problems for ordinary differential equations” Caribb. J. Math. Comput. Sci.15, 2013, pp. 1–30.
- "Improved bounds on linear instability of barotropic zonal flow within the shallow water equations", Geophysical & Astrophysical Fluid Dynamics, 107:3, 328-352, 2013. (with A. D. Clark)
- “Exchange of stabilities in Couette flow between cylinders with Navier-slip conditions” Quarterly of Applied Mathematics Vol. LXX, Number 4, Dec. 2012, pp. 743–758 (with Pablo Suárez).
- "Gauging magnetorotational instability" Journal of Applied Mathematics and Physics (Z. Angew. Math. Phys.) Vol. 61, Number 4, pp. 663-672, 2010 (with Jeremy Goodman).