Isom Herron
Professor of Mathematical Sciences; Member, Faculty of Information Technology
Education:
Ph.D., Johns Hopkins University
Research Areas:
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 magnetohydrodynamic flows, (ii) more complicated geophysical flows such as groundwater, for which mathematical models are still being developed.
Some Recent Publications:
“Solving singular boundary value problems for ordinary differential equations”
Caribb. J. Math. Comput. Sci.15, 2013, pp. 1–30.
“Exchange of stabilities in Couette flow between cylinders with Navierslip 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. 663672, 2010 (with Jeremy Goodman).
"On the Principle of Exchange of Stabilities in RayleighBenard Convection" SIAM J. Appl.Math. 61, No.4, December 2000, p.13621368.
2002 MAANAM 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. 279293 (with Halima N. Ali).
"On the Principle of Exchange of Stabilities in RayleighBenard Convection, II  Noslip Boundary Conditions", Ann. Univ. FerraraSez. VIISc. Nat. Vol. 49, pp. 169182, December 2003.
"Onset of Instability in Hydromagnetic Couette Flow", Analysis and Applications, Vol. 2, No. 2, April 2004, pp.145159.
"The stability of Couette flow in a toroidal magnetic field", Applied Mathematics Letters, 19, 11131117 (2006) (with Fritzner Soliman).
“The small Prandtl number approximation suppresses magnetorotational instability”, Journal of Applied Mathematics and Physics (Z. Angew. Math. Phys.) 57, 615622 (2006) (with Jeremy Goodman).
“Partial Differential Equations in Fluid Dynamics”, Cambridge University Press, 2008 (Textbook with Michael R. Foster).
Contact Information:
Isom Herron
(518) 2762649
herroi@rpi.edu
More Info:
http://eaton.math.rpi.edu/faculty/Herron/Home.html
