## Expertise

Applied mathematics, combustion theory

## Research Interests

Applied mathematics, combustion theory.

## Education

**Ph D: Applied Mathematics**, (1984), Oxford University - UK**MS: Applied Mathematics**, (1981), Victoria University of Wellington - New Zealand**BS: Mathematics**, (1979), Victoria University of Wellington - New Zealand

## Selected Publications

- Christodoulou, D., Katatbeh, Q.D.,
**Graham-Eagle, J.**(2016). A criterion for oscillations in the solutions of the polytropic Lane-Emden equations.*Journal of Inequalities and Applications,**2016*(1) 147. - Christodoulou, D.,
**Graham-Eagle, J.**, Katatbeh, Q.D. (2016). A program for predicting the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential equations.*Advances in Difference Equations,**2016*(1) 48. - Christodoulou, D.,
**Graham-Eagle, J.**, Katatbeh, Q. (2016). The intervals of oscillations in the solutions of the Legendre differential equations.*Advances in Difference Equations,**2016*(1) 1 - 10. - Katatbeh, Q.D., Christodoulou, D.,
**Graham-Eagle, J.**(2016). The intervals of oscillations in the solutions of the radial Schrödinger differential equation.*Advances in Difference Equations,**2016*(1) 47. - Joseph, P.,
**Graham-Eagle, J.**(2015). Analytical solution of a dynamical systems soil model.*Analytical Methods in Petroleum Upstream Applications,*219. - Christodoulou, D.,
**Graham-Eagle, J.**, Katatbeh, Q.D. (2014). A Program for Predicting the Intervals of Oscillations in the Solutions of Ordinary Second-Order Linear Homogeneous Differential Equations. - Christodoulou, D.,
**Graham-Eagle, J.**, Katatbeh, Q.D. (2014). The Intervals of Oscillations in the Solutions of the Legendre Differential Equations. - Katatbeh, Q.D., Christodoulou, D.,
**Graham-Eagle, J.**(2014). The Intervals of Oscillations in the Solutions of the Radial Schrödinger Differential Equation. - Joseph, P.G.,
**Graham-Eagle, J.**(2013). Strain-rate effects in shear highlighted by a dynamical systems model.*International Journal of Geomechanics.* **Graham-Eagle, J.**(2009). The Draining Cylinder.*The College Mathematics Journal,**40*(5) 337–344.**Graham-Eagle, J.**(2008). Halting combustion waves with a fire break.*Journal of Mathematical Analysis and Applications,**348*(1) 116–121.- Rossi, L., Inyang, H.,
**Graham-Eagle, J.**, Pennell, S.A. (2005). Closure to “A Model of Coupled Heat and Moisture Transport in an Annular Clay Barrier” by L. Rossi, HI Inyang, J. Graham-Eagle, and S. Pennell.*Journal of Environmental Engineering,**131*(11) 1615–1616. - Rossi, L., Inyang, H.,
**Graham-Eagle, J.**, Pennell, S.A. (2004). A model of coupled heat and moisture transport in an annular clay barrier.*Journal of Environmental Engineering,**130*(8) 855–862. - Beuscher, U., Bayram, S., Broadbridge, P., Driscoll, T., Edwards, D.A., Fehribach, J.,
**Graham-Eagle, J.**, Haskett, R., Heryudono, A., Huang, H., others, . (2004). Multi-Phase Flow in a Thin Porous Material. **Graham-Eagle, J.**, Rossi, L.F. (2002). On the existence of two-dimensional, localized, rotating, self-similar vortical structures.*SIAM Journal on Applied Mathematics,**62*(6) 2114–2128.- Byrne, C.,
**Graham-Eagle, J.**(2001). A short proof of the convergence of the SART algorithm.*Dept. Math. Sci., Univ. Massachusetts, Lowell, Tech. Rep.* **Graham-Eagle, J.**, Schult, D. (2001). Combustion waves with reactant depletion.*The ANZIAM Journal,**43*(01) 119–135.- Kreminski, R.,
**Graham-Eagle, J.**(2001). Simpson’s rule for estimating n!(and proving Stirling’s formula, almost).*International Journal of Mathematical Education in Science and Technology,**32*(3) 466–475. **Graham-Eagle, J.**, Schult, D. (2001).*The effect of wind on combustion waves with reactant depletion*(457:2014 pp. 2397–2417).**Graham-Eagle, J.**, Pennell, S.A. (2000). Contact angle calculations from the contact/maximum diameter of sessile drops.*International journal for numerical methods in fluids,**32*(7) 851–861.- Amirfazli, A.,
**Graham-Eagle, J.**, Pennell, S.A., Neumann, A. (2000). Implementation and examination of a new drop shape analysis algorithm to measure contact angle and surface tension from the diameters of two sessile drops.*Colloids and Surfaces A: Physicochemical and Engineering Aspects,**161*(1) 63–74. - Noushin, A., Fiddy, M.,
**Graham-Eagle, J.**(1999). Some new findings on the zeros of band-limited functions.*JOSA A,**16*(7) 1857–1863. - Pennell, S.A.,
**Graham-Eagle, J.**(1996).*Sessile Drops on Slightly Uneven Hydrophilic Surfaces*(1:). **Graham-Eagle, J.**(1995). A nonlocal equation arising in the theory of wet combustion.*IMA journal of applied mathematics,**54*(1) 1–8.- Gonzalezvelasco, E.,
**Graham-Eagle, J.**(1994). Directed Distances with Derivatives.*Journal of Mathematical Analysis and Applications,**184*(2) 243-255. **Graham-Eagle, J.**(1993). On the Relation between a Nonlinear Elliptic Equation and Its Uniform Approximation.*Journal of Mathematical Analysis and Applications,**177*(1) 254-262.- Byrne, C.,
**Graham-Eagle, J.**(1992).*Convergence properties of the algebraic reconstruction technique (ART)*(pp. 1240–1242). **Graham-Eagle, J.**(1990). A variational approach to upper and lower solutions.*IMA Journal of Applied Mathematics,**44*(2) 181–184.**Graham-Eagle, J.**(1989). Monotone methods for semilinear elliptic equations in unbounded domains.*Journal of Mathematical Analysis and Applications,**137*(1) 122–131.- BENJAMIN, T.B.,
**Graham-Eagle, J.**(1985). Long Gravity—Capillary Waves with Edge Constraints.*IMA journal of applied mathematics,**35*(1) 91–114. **Graham-Eagle, J.**(1983).*A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints*(94:03 pp. 553–564).

## Selected Presentations

- Extinguishing combustion waves with a fire break
*- ANZIAM Meeting, January 2010*- New Zealand - Building a fire only to break it
*, January 2010*- University of Delaware, DE *- National Center for Academic Transformation Redesign Alliance Conference, March 2008*- Orlando, FL- Extinguishing fires with a break
*, April 2002*- Fitchburg College, MA *- BRC conference on Math Teaching, February 2002*- Boston, Massachusetts*- SIAM conference on Geosciences, June 2001*- Boulder, Colorado- The effect of wind on combustion waves
*, December 1999*- University of Massachusetts Lowell, MA - Combustion waves with reactant depletion
*- Combustion Conference, February 1999*- Sydney, Australia - Combustion waves
*, October 1997*- University of Massachusetts Lowell, MA - Calculating surface tension from drop profiles
*, March 1996*- University of Massachusetts Lowell, MA - Computing surface tension from sessile drop profiles
*- Australia and New Zealand Industrial and Applied Mathematics Conference, February 1996*- Masterton, New Zealand *- Conference on the Preparation and Professional Development of Mathematics Graduate Teaching Assistants, February 1996*- University of New Hampshire- Degree theory and nonlocal PDEs
*, February 1995*- University of Massachusetts Lowell, MA *- Workshop on Calculus for At-Risk Students, August 1994*- Austin, TX- Teaching secondary school mathematics to secondary school mathematics teachers
*- Mathematics Education Seminar, April 1994*- Suffolk University, Boston, MA. - Congruence arithmetic
*, December 1993*- University of Massachusetts Lowell, MA *- IEEE Conference on Medical Imaging, October 1992*- Orlando, FL- Nonlocal heat equation
*, November 1991*- University of Massachusetts at Amherst, MA - Reaction-diffusion with non-local forcing term
*- Applied Mathematics Seminar, September 1991*- University of Massachusetts Amherst *- Partial Differential Equations Conference in honor of Lawrence Payne, October 1990*- Cornell, NY*- Wavelets Conference, June 1990*- Lowell, Massachusetts- Thermal runaway
*, October 1989*- University of Massachusetts Lowell, MA - The Riemann hypothesis
*, May 1989*- University of Delaware, DE - A fractional order diffusion equation
*, April 1989*- University of Massachusetts Lowell, MA - A free boundary problem arising in the theory of heat conduction
*, March 1989*- Washington and Lee University, VA - Automorphic numbers
*, March 1989*- Muhlenberg College, PA - Heat conduction with fractional order heat generation
*, March 1989*- University of Alabama at Birmingham, AL - Upper and lower solutions for nonlinear elliptic partial differential equations
*, February 1989*- University of Delaware, DE - A variational approach to upper and lower solutions. An international conference on differential equations.
*- Conference on Differential Equations in Honor of Alex McNabb, June 1988*- New Zealand - Degree Theory
*, 1987*- University of Delaware, DE - Monotone methods for the nonlinear partial differential equations of heat conduction
*, November 1987*- University of Auckland, NZ - Nonstandard Analysis
*, June 1987*- University of Delaware, DE *- Joint American Mathematical Society/Mathematics Association America meeting, January 1987*- San Antonio, TX*- International Congress of Mathematicians, July 1986*- Berkeley, CA- The relation between degree theory and monotone methods in nonlinear elliptic partial differential equations
*, January 1986*- Irvine, CA - The Morse inequalities for compact manifolds
*, April 1985*- Victoria University, New Zealand - Gravity-capillary waves with edge constraints and the propagation of capillary waves in a channel
*, June 1984*- Oxford University, UK *- Mathematics in Industry Conference, July 1983*- Oxford, UK- A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints
*- Applied Mathematics Conference, April 1983*- Oxford, UK - Gravity-capillary waves with edge constraints
*, April 1983*- Universite de Paris Sud & L'Ecole Normale, France *- NATO/London Mathematical Society Conference, July 1982*- Oxford, UK- Approximating real numbers by rationals
*, October 1980*- Victoria University, New Zealand