Isom H. Herron

Personal

First Name: Isom
Middle Name: H.
Last Name: Herron

Biography

Research Interests: Hydrodynamic Stability

 Full Professor of Mathematics at Rensselaer Polytechnic Institute

URL: new http://eaton.math.rpi.edu/faculty/Herron/Home.html old http://www.math.rpi.edu/~herroi/

                             RESEARCH NOTES

Professor Herron has 21 publications. 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

  1. Herron, Isom H. Erratum: Onset of instability in hydromagnetic Couette flow [Anal. Appl. (Singap.) 2 (2004), no. 2, 145--159. Anal. Appl. (Singap.) (2004), no. 4, 389. 76E25
  2. Isom H. HerronOnset of Instability in Hydromagnetic Couette Flow, Analysis and Applications, Vol. 2, No. 2, April 2004, pp.145-159.
  3. Isom H. HerronOn 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.
  4. Halima N. Ali and Isom H. HerronThe Principle of Exchange of Stabilities for Couette Flow, Quarterly of Applied Mathematics , Volume 61, Number 2, June 2003, pp. 279-293
  5. 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.
  6. Isom H. HerronOn the Principle of Exchange of Stabilities in Rayleigh-Benard Convection SIAM J. Appl.Math. 61, No.4, December 2000, p.1362-1368.
  7. Antwan D. Clark and Isom H. HerronInstabilities in the Gortler Model for Wall Bounded Flows, Applied Mathematics Letters, 13, 105-110 (2000) .
  8. Isom H. Herron, Spectral Problems in the Stability of Forced Solitary WavesApplied Mathematics Letters12, 19-22 (1999).
  9. Pankaj R. Dwarka and Isom H. HerronThe Modulation Equations for the Asymptotic Suction Velocity Profile and the Ekman Boundary Layer, Studies in Applied Mathematics, 96, 163-181 (1996).
  10. Isom H. Herron, A Simple Criterion for Exchange of Stabilities in a Model of Langmuir CirculationsEuropean Journal of Mechanics B/Fluids 15, 771-779 (1996).
  11. Isom H. HerronSpectral Problems in the Stability of Forced Solitary Waves, Applied Mathematics Letters, 12, 19-22 (1999).
  12. Halima N. Ali and Isom H. Herron,The Two-Dimensional Stability of a Viscous Fluid between Rotating Cylinders, Journal of Mathematical Analysis & Applications 203 (1996), 481-489
  13. Isom H. HerronA Simple Criterion for Exchange of Stabilities in a Model of Langmuir Circulations, European Journal of Mechanics B/Fluids 15 (1996), 771-779.
  14. 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)
  15. Isom H. HerronThe linear stability of circular pipe flow to axisymmetric disturbances, Stab. & App. Anal Cont. Media 2 (1992) p. 293-303.
  16. Isom H. HerronStability Criteria for Flow Along a Convex Wall, Phys. Fluids A, 3 (1991), pp 1825-1827.
  17. Isom H. HerronObservations on the role of vorticity in the stability theory of wall bounded flows, Stud. Appl. Math. 85 (1991), 269--286.
  18. Isom H. HerronA method of constructing Green's functions for ordinary differential systems, Bull. Inst. Math. Appl. 25 (1989), 233--237.
  19. Isom H. HerronFloquet theory for the stability of boundary layer flows, J. Approx. Theory 42 (1984), 387--406.