John Evans Emeritus Professor of Applied Mathematics
Emeritus Professor of Mathematics Emeritus Professor of Mechanical Engineering Ph.D., Courant Inst. of Mathematical Sciences


Editor, S.I.A.M. J. Appl. Math. (197695)
Assoc. Managing Editor (19781982) Editor, Wave Motion (197999) Editor, Appl. Math. Letters Editor, European J. Appl. Math. (199096) Editor, Random & Comp. Dynamics (199297) Editor, Int'l. J. SHS Editor, J. Mat. Synth. & Proc (19932002) Editor, SIAM Monographs on Mathematical Modeling & Computation Editor, Mathematical Modelling of Natural Phenomena Ed. Adv. Bd., Springer Appl. Math. Sci. Series Honors:

Email address: bmatkowsky@northwestern.edu
Graduate Students:
L.J. Putnick (1972), D.O. Olagunju (1981), C. Knessl (1986), M.M. KlosekDygas
(1986),
R.A. Kuske (1992), A. Class (1995), D.A. Schult (1996), T.K.E.
Ma (1997), D. Stevens (1999),
C.S. Raymond (2000), C.W. Wahle (2003), J.H. Park (2006), J. Tzou (2012)
Visitors & Postdocs:
A. Aldushin, M. Booty, A. Class, D. Dellwo, T. Erneux, A. Golovin,
J. Grasman, A. Kapila,
C. Knessl, M. Mangel, S. Margolis, A. Nepomnyashchy, L. Putnick, Z. Schuss,
G. Shkadinskaya, K. Shkadinsky, G. Sivashinsky, C. Tier, A. van Harten, J. Vega, V. Volpert
Research Interests:
Asymptotic and Perturbation Methods. Bifurcation and Stability. Nonlinear
Dynamics. Pattern Formation.
Combustion (Premixed1, Premixed2,
Filtration and Fingering, Gasless, Smoldering).
Combustion Synthesis of Materials. Stochastic Dynamical Systems.
Selected Publications:
Flames as Gasdynamic Discontinuities,
Journal of Fluid Dyanamics 124, (1982), pp.239  259.
(with M. Matalon).
Propagation of a Pulsating Reaction Front in Solid Fuel Combustion,
SIAM JOurnal of Applied Mathematics. 35, (1978), pp.465478.
(with G.I. Sivashinsky).
Exit Problem for Randomly Perturbed Dynamical Systems,
SIAM Journal of Applied Mathematics 33, (1977), pp.365382. (with Z. Schuss)
Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation,
SIAM Journal of Applied Mathematics 37 (1979) pp. 686699
(with G.I. Sivashinsky).
Lifetime of Oscillatory Steady States,
Physical Review,
A26 (1982) pp. 28052816.
(with E. BenJacob, D.J. Bergman, Z. Schuss)
Two Routes to Chaos in Condensed Phase Combustion,
SIAM Journal of Applied Mathematics 50 (1990) pp. 437459 (with A. Bayliss).
Singular Peturbation of Bifurcations,,
SIAM Journal of Applied Mathematics 33 (1977) pp. 230255 (with E.L. Reiss).
Fronts, Relaxation Oscillations and Period Doubling in Solid Fuel Combustion,
Journal of Computational Physics 71 (1987) pp. 147168 (withA. Bayliss).
A Diect Approach to the Exit Problem,
SIAM Journal of Applied Mathematics 50 (1990) pp. 595627 (with T.Naeh, M. Klosek, Z. Schuss).
Uniform Asympotic Expansions in Transport Theory with Small Mean Free Paths and the Diffusion Approximation
Journal of Mathematical Physics 16 (1975) pp. 846854 (with G.J. Habetler).
A Singular Perturbation Approach to Kramers Diffusion Problem,
SIAM Journal of Applied Mathematics, 42, (1982) pp. 835849, (with E. BenJacob, Z. Schuss)
Singular Perturbations in Noisy Dynamical Systems,
European Journal of Applied Mathematics ,29, (2018) pp.570594.