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Bernard Matkowsky
John Evans Professor of Applied Mathematics
Professor of Mathematics
Professor of Mechanical Engineering

Dept. of Mechanical Engineering
Northwestern University
2145 Sheridan Road, Rm. M438
Evanston, IL 60208-3111, USA

TEL: 847-491-5396
FAX: 847-491-3915

b-matkowsky@northwestern.edu

link to Applied Mathamatics page

BS (1960)
MEE (1961) MS (1963)
PhD Courant Institute of Mathematical Sciences (1966)

Honors and Awards

  • Editor, J. Materials Synthesis & Processing (1993-2002)

  • 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 
  • 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

Research: Combustion; combustion synthesis of advanced materials; nonlinear dynamics and pattern formation; analytical and computational methods

Professor Matkowsky's interests are in asymptotic and perturbation methods, bifurcation and stability, nonlinear dynamics and pattern formation, combustion (premixed, filtration and fingering, gasless), combustion synthesis of materials and stochastic dynamical systems.

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)