Isom H. Herron

Born:

Birthplace:

.B.S. Massachusetts Insitute of Technology, M.S.?

Ph.D. The Johns Hopkins University 1973

thesis:A Fluid dynamical Theory for the Motion of a Particle Undergoing Centrifugation; advisor: unknownResearch Interests: Hydrodynamic Stability

Full Professor of Mathematics at Rensselaer Polytechnic Institute

URL: new

http://eaton.math.rpi.edu/faculty/Herron/Home.htmloldhttp://www.math.rpi.edu/~herroi/

email: herroi@rpi.edu

RESEARCH NOTES

Professor Herron has

21publications. His 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 to dynamical systems. Current research interests are in (i) classical problems of the stability of exact solutions of the Navier-Stokes equations, theories which are highly mathematical in content, (ii) more complicated oceanic flows such as Langmuir circulations, for which mathematical models are still being developed, (iii) stability of boundary layer flows with curvature.

SELECTED PUBLICATIONS

**Herron, Isom H.**Erratum:__Onset of instability in hydromagnetic Couette flow__[Anal. Appl. (Singap.)**2**(2004), no. 2, 145--159.*Anal. Appl. (Singap.)***2**(2004), no. 4, 389. 76E25**Isom H. Herron**,__Onset of Instability in Hydromagnetic Couette Flow__, Analysis and Applications, Vol. 2, No. 2, April 2004, pp.145-159.**Isom H. Herron**,__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.**Halima N. Ali**and**Isom H. Herron**,__The Principle of Exchange of Stabilities for Couette Flow__, Quarterly of Applied Mathematics , Volume 61, Number 2, June 2003, pp. 279-293**Isom H. Herron**__,____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.**Isom H. Herron**,__On the Principle of Exchange of Stabilities in Rayleigh-Benard Convection__**SIAM J. Appl.Math. 61**, No.4, December 2000, p.1362-1368.- Antwan D. Clark and
**Isom H. Herron**,__Instabilities in the Gortler Model for Wall Bounded Flows__, Applied Mathematics Letters,**13**, 105-110 (2000) . **Isom H. Herron**__,____Spectral Problems in the Stability of Forced Solitary Waves__,**Applied Mathematics Letters**,**12,**19-22 (1999).- Pankaj R. Dwarka and
**Isom H. Herron**,__The Modulation Equations for the Asymptotic Suction Velocity Profile and the Ekman Boundary Layer__, Studies in Applied Mathematics,**96,**163-181 (1996). **Isom H. Herron**__, A Simple Criterion for Exchange of Stabilities in a Model of Langmuir Circulations__,**E**uropean Journal of Mechanics B/Fluids**15**, 771-779 (1996).**Isom H. Herron**,__Spectral Problems in the Stability of Forced Solitary Waves__, Applied Mathematics Letters,**12,**19-22 (1999).**Halima N. Ali**and**Isom H. Herron**,*T*__he Two-Dimensional Stability of a Viscous Fluid between Rotating Cylinders__*,*Journal of Mathematical Analysis & Applications**203**(1996), 481-489**Isom H. Herron**,__A Simple Criterion for Exchange of Stabilities in a Model of Langmuir Circulations__*,*European Journal of Mechanics B/Fluids**15**(1996), 771-779.- Pankaj R. Dwarka and
**Isom H. Herron**,__The Modulation Equations for the Asymptotic Suction Velocity Profile and the Ekman Boundary Layer__*,*Studies in Applied Mathematics (1996) p. 163-181. 76D10 (76E30) **Isom H. Herron**,__The linear stability of circular pipe flow to axisymmetric disturbances__*,*Stab. & App. Anal Cont. Media**2**(1992) p. 293-303.**Isom H. Herron**,__Stability Criteria for Flow Along a Convex Wall__*,*Phys. Fluids A,**3**(1991), pp 1825-1827.**Isom H. Herron**,__Observations on the role of vorticity in the stability theory of wall bounded flows__*,*Stud. Appl. Math.**85**(1991), 269--286.**Isom H. Herron**,__A method of constructing Green's functions for ordinary differential systems__*,*Bull. Inst. Math. Appl.**25**(1989), 233--237.**Isom H. Herron**,__Floquet theory for the stability of boundary layer flows__*,*J. Approx. Theory**42**(1984), 387--406.

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