Bernard J. Matkowsky

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Bernard J. Matkowsky (born August 19, 1939 in New York City ; † June 11, 2020 ) was an American mathematician who dealt with differential equations (partial and ordinary) and their applications, for example in combustion processes.

Career

Matkowsky studied at City College of New York with a bachelor's degree in 1960 and at New York University with a master's degree in electrical engineering in 1961 and in mathematics in 1963 and received his doctorate in 1966 under Joseph B. Keller at New York University ( Courant Institute ) ( Asymptotic Solution of Partial Differential Equations in Thin Domains ). From 1966 he was a professor at the Rensselaer Polytechnic Institute and from 1977 professor of applied mathematics and mechanics (mechanical engineering) at Northwestern University , where he was John Evans professor from 1990 .

In 1972/73 and 1980 he was visiting professor in Tel Aviv, 1976 and 1980 at the Weizmann Institute and he was an advisor to the Argonne National Laboratory , the Sandia National Laboratory , the Exxon Research Corporation and the Lawrence Livermore National Laboratory . In 1982/83 he was a Guggenheim Fellow and in 1972/73 a Fulbright Hays Fellow.

He dealt with asymptotic and perturbation methods for partial and ordinary differential equations, nonlinear stability theory and bifurcations , stochastic differential equations and applications to hydrodynamics, elasticity theory, flame propagation, combustion, patterning and nonlinear dynamics (for example Brusselator , that of Ilya Prigogine and employees at the Free University of Brussels developed a model of an autocatalytic reaction). Among other things, he investigated combustion in porous bodies (filtration combustion), gasless solid-state combustion (with the self propagating high temperature synthesis (SHS) developed in Russia), cellular flames, transition from smoldering and smoldering to flame.

In 2017 he gave the John von Neumann Lecture . He was a Fellow of SIAM , the American Physical Society , the American Academy of Mechanics, and the American Association for the Advancement of Science .

He was on the editorial board of Springer's Applied Mathematical Sciences series, and was editor of SIAM J. Appl. Math., 1979 to 1999 from Wave Motion and 1993 to 2002 of J. Materials Synthesis & Processing, 1990 to 1996 of the European J. of Applied Mathematics, 1992 to 1997 of Random and Computational Dynamics and 1993 to 2002 of J. Math. Synth . & Proc. He was also the editor of the SIAM Monographs on Mathematical Modeling & Computation.

In 1965 he married Florence Knobel and had three children with her.

Fonts (selection)

  • with AP Aldushin: Instabilities, Fingering and the Saffman-Taylor Problem in Filtration Combustion, Comb. Sci. & Tech. 133, (1998), pp. 293-344
  • with A. Bayliss, A. Golovin, A. Nepomnyashchy: Coupled KS-CGL and Coupled Burgers-CGL Equations for Flames Governed by a Sequential Reaction, Physica D. 129, (1999), pp 253-298
  • with AP Aldushin: Rapid Filtration Combustion Waves Driven by Convection, Combustion Science & Tech. 140, (1999), pp. 259-293.
  • with AP Aldushin, A. Bayliss: Dynamics in Layer Models of Solid Flame Propagation, Physica D 143 (2000), pp. 109-137
  • with A. Golovin, A. Nepomnyashchy: Traveling and Spiral Waves for Sequential Flames with Translation Symmetry: Coupled CGL-Burgers Equations, Physica D 160 (2001) pp. 1-28
  • with AP Aldushin, KG Shkadinsky, GV Shkadinskaya, VA Volpert: 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, AG Merzhanov, Taylor and Francis 2002
  • with A. Bayliss: 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, AG Merzhanov, Taylor and Francis 2002
  • with A. Bayliss, AP Aldushin: Dynamics of Hot Spots in Solid Fuel Combustion, Physica D 166 (2002) pp 104-130
  • with CW Wahle, AP 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 CW Wahle, AP Aldushin: Effects of Gas-Solid Nonequilibrium in Filtration Combustion, Combustion Science & Tech. 175 (2003) pp. 1389-1499
  • with AG Class, AY Klimenko: A Unified Model of Flames as Gasdynamic Discontinuities, J. Fluid Mech. 491 (2003) pp. 11-49
  • with AG Class, AY Klimenko: Stability of Planar Flames as Gasdynamic Discontinuities, J. Fluid Mech. 491 (2003) pp. 51-63
  • with AP Aldushin, A. Bayliss: On the Transition from Smoldering to Flaming, Combustion & Flame, 145, (2006) pp. 579-606

Web links

Individual evidence

  1. ↑ Birth and career data according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ Brian Sandalow: Emeritus Professor Bernard J. Matkowsky Passes Away. Northwestern University, McCormick School of Engineering, June 16, 2020, accessed June 17, 2020 .
  3. ↑ Bernard J. Matkowsky in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  4. ↑ CGL stands for the complex Ginsburg-Landau equation, KS for the Kuramoto-Sivashinsky equation, Burgers for the Burgers equation .
personal data
SURNAME Matkowsky, Bernard J.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 19, 1939
PLACE OF BIRTH New York City
DATE OF DEATH June 11, 2020