Bernard J. Matkowsky

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

Editor, S.I.A.M. J. Appl. Math. (1976-95) Editor, Wave Motion (1979-99) Editor, Appl. Math. Letters Editor, European J. Appl. Math. (1990-96) Editor, Random & Comp. Dynamics (1992-97) Editor, Int'l. J. SHS Editor, J. Mat. Synth. & Proc (1993-2002) Editor, SIAM Monographs on Mathematical Modeling & Computation Editor, Mathematical Modelling of Natural Phenomena Ed. Adv. Bd., Springer Appl. Math. Sci. Series Honors: Fellow, Amer. Assoc. Adv. Sci. Fellow, Amer. Phys. Soc. Fellow, Amer. Acad. Mechanics Fulbright-Hays Fellowship (1972-73) Guggenheim Fellowship (1982-83) ISI Highly Cited Researcher Medal "for important contributions to modeling SHS processes", Vth Int'l. Symp. on SHS, Moscow, Russia (1999) Lady Davis Faculty Fellowship - Technion (2007) Jubilee Medal "for contributions to combustion theory", Int'l. Assn. on SHS and Russian Academy of Sciences (2007)

E-mail address: b-matkowsky@northwestern.edu

Graduate Students:
L.J. Putnick (1972), D.O. Olagunju (1981), C. Knessl (1986), M.M. Klosek-Dygas (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

Visiting Research Associates:
Anatoly Aldushin (Russian Academy of Sciences),
Andreas Class (Forschungszentrum Karlsruhe),
Galina Shkadinskaya (Russian Academy of Sciences),
Konstantin Shkadinsky (Russian Academy of Sciences)

Research Interests:
Asymptotic and Perturbation Methods. Bifurcation and Stability. Nonlinear Dynamics and Pattern Formation. Combustion (Premixed1, Premixed2, Filtration and Fingering, Gasless, Smoldering). Combustion Synthesis of Materials. Stochastic Dynamical Systems.

Complete list of publications

Selected Publications:
Instabilities, Fingering and the Saffman-Taylor Problem in Filtration Combustion,
Comb. Sci. & Tech. 133, (1998), pp.293 - 344. (with A.P. Aldushin).

Coupled KS-CGL and Coupled Burgers-CGL Equations for Flames Governed by a Sequential Reaction,
Physica D. 129, (1999), pp.253-298. (with A. Bayliss, A. Golovin and A. Nepomnyashchy).

Rapid Filtration Combustion Waves Driven by Convection,
Combustion Science & Tech. 140, (1999), pp.259-293. (with A.P. Aldushin)

Dynamics in Layer Models of Solid Flame Propagation,
Physica D 143 (2000), pp. 109-137 (with A.P. Aldushin, A. Bayliss).

Traveling and Spiral Waves for Sequential Flames with Translation Symmetry: Coupled CGL-Burgers Equations,
Physica D 160 (2001) pp. 1-28 (with A. Golovin, A. Nepomnyashchy).

Mathematical Modeling of SHS Processes, chapter 7 in Comb. Sci. and Tech. vol 5: Self-Propagating High-Temperature Synthesis of Materials., Eds. A. Borisov, L. DeLuca, A.G. Merzhanov,
Taylor and Francis 2002 (with A.P. Aldushin, K.G. Shkadinsky, G.V. Shkadinskaya, V.A. Volpert)

A World of SHS Wave Modes, chapter 8 in Comb. Sci. and Tech. vol 5: Self-Propagating High-Temperature Synthesis of Materials., Eds. A. Borisov, L. DeLuca, A.G. Merzhanov,
Taylor and Francis 2002 (with A. Bayliss).

Dynamics of Hot Spots in Solid Fuel Combustion,
Physica D 166 (2002) pp. 104-130 (with A. Bayliss, A.P. Aldushin).

A Complex Swift-Hohenberg Equation Coupled to the Goldstone Mode in the Nonlinear Dynamics of Flames,,
Physica D 179 (2003) pp. 183-210 (with A.A. Golovin, A.A. Nepomnyashchy).

Effects of Gas-Solid Nonequilibrium in Filtration Combustion,
Combustion Science & Tech. 175 (2003) pp. 1389-1499 (with C.W. Wahle, A.P. Aldushin).

A Unified Model of Flames as Gasdynamic Discontinuities,
J. Fluid Mech. 491 (2003) pp. 11-49 (with A.G. Class, A.Y. Klimenko).

Stability of Planar Flames as Gasdynamic Discontinuities
J. Fluid Mech. 491 (2003) pp. 51-63 (with A.G. Class, A.Y. Klimenko).

On the Transition from Smoldering to Flaming,
Combustion & Flame, 145, (2006) pp. 579-606, (with A.P. Aldushin, A. Bayliss)