Ph.D. Johns Hopkins University
Applied Mathematics, Hydrodynamic Stability
Professor Herron's research is in one of the richest areas of applied mathematics: 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.
"Instabilities in the Gortler Model for Wall Bounded Flows", Applied Mathematics Letters, 13 , pp. 105-110 (2000) (with Antwan D. Clark).
"On the Principle of Exchange of Stabilities in Rayleigh-Benard Convection" SIAM J. Appl.Math. 61, No.4, December 2000, p.1362-1368.
"Onset of Convection in a Porous Medium with Internal Heat Source and Variable Gravity", International Journal of Engineering Science,
Volume 39, Issue 2, January 2001, pp. 201-208.
2002 MAA-NAM David Blackwell Lecture: "Random Walk, Diffusion, and Energy Decay"
"The Principle of Exchange of Stabilities for Couette Flow", Quarterly of Applied Mathematics , Volume 61, Number 2, June 2003, pp. 279-293 (with Halima N. Ali).
"On the Principle of Exchange of Stabilities in Rayleigh-Benard Convection, II - No-slip Boundary Conditions", Ann. Univ. Ferrara-Sez. VII-Sc. Nat. Vol. 49, pp. 169-182, December 2003.
"Onset of Instability in Hydromagnetic Couette Flow", Analysis and Applications, Vol. 2, No. 2, April 2004, pp.145-159.
"The stability of Couette flow in a toroidal magnetic field", Applied Mathematics Letters, 19, 1113-1117(2006) (with Fritzner Soliman).
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
Troy, New York 12180
(518) 276-2649 (Voice)
(518) 276-4824 (Fax)
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