• 4661 Citations
1962 …2019

Research output per year

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2019

A boundary layer approach to the whispering gallery phenomenon

Matkowsky, B. J., Jan 1 2019, In : Quarterly of Applied Mathematics. 77, 3, p. 545-551 7 p.

Research output: Contribution to journalArticle

2018

A boundary layer approach to creeping waves

Matkowsky, B. J., Dec 2018, In : Applied Mathematics Letters. 86, p. 320-325 6 p.

Research output: Contribution to journalArticle

Singular perturbations in noisy dynamical systems

Matkowsky, B. J., Aug 1 2018, In : European Journal of Applied Mathematics. 29, 4, p. 570-593 24 p.

Research output: Contribution to journalArticle

1 Scopus citations
2013
7 Scopus citations
2011
12 Scopus citations
13 Scopus citations
2009

Interaction of Turing and Hopf modes in the superdiffusive Brusselator model

Tzou, J. C., Matkowsky, B. J. & Volpert, V., Sep 1 2009, In : Applied Mathematics Letters. 22, 9, p. 1432-1437 6 p.

Research output: Contribution to journalArticle

9 Scopus citations

Is there a transition to flaming in reverse smolder waves?

Aldushin, A. P., Bayliss, A. & Matkowsky, B. J., Dec 1 2009, In : Combustion and Flame. 156, 12, p. 2231-2251 21 p.

Research output: Contribution to journalArticle

8 Scopus citations
2008

Turing pattern formation in the brusselator model with superdiffusion

Golovin, A. A., Matkowsky, B. J. & Volpert, V., Nov 6 2008, In : SIAM Journal on Applied Mathematics. 69, 1, p. 251-272 22 p.

Research output: Contribution to journalArticle

58 Scopus citations
2006

Explosive crystallization in the presence of melting

Grigoropoulos, C., Rogers, M., Ko, S. H., Golovin, A. A. & Matkowsky, B. J., May 31 2006, In : Physical Review B - Condensed Matter and Materials Physics. 73, 18, 184125.

Research output: Contribution to journalArticle

29 Scopus citations

On the route to extinction in nonadiabatic solid flames

Park, J. H., Bayliss, A., Matkowsky, B. J. & Nepomnyashchy, A. A., Jul 5 2006, In : SIAM Journal on Applied Mathematics. 66, 3, p. 873-895 23 p.

Research output: Contribution to journalArticle

3 Scopus citations

On the transition from smoldering to flaming

Aldushin, A. P., Bayliss, A. & Matkowsky, B. J., May 1 2006, In : Combustion and Flame. 145, 3, p. 579-606 28 p.

Research output: Contribution to journalArticle

30 Scopus citations
2005

Dynamics in a rod model of solid flame waves

Park, J. H., Bayliss, A. & Matkowsky, B. J., Jun 13 2005, In : SIAM Journal on Applied Mathematics. 65, 2, p. 521-549 29 p.

Research output: Contribution to journalArticle

3 Scopus citations
2003

A complex Swift-Hohenberg equation coupled to the Goldstone mode in the nonlinear dynamics of flames

Golovin, A. A., Matkowsky, B. J. & Nepomnyashchy, A. A., May 15 2003, In : Physica D: Nonlinear Phenomena. 179, 3-4, p. 183-210 28 p.

Research output: Contribution to journalArticle

6 Scopus citations

A unified model of flames as gasdynamic discontinuities

Class, A. G., Matkowsky, B. J. & Klimenko, A. Y., Sep 25 2003, In : Journal of Fluid Mechanics. 491, p. 11-49 39 p.

Research output: Contribution to journalArticle

31 Scopus citations

Effects of gas-solid nonequilibrium in filtration combustion

Wahle, C. W., Matkowsky, B. J. & Aldushin, A. P., Aug 1 2003, In : Combustion science and technology. 175, 8, p. 1389-1499 111 p.

Research output: Contribution to journalArticle

40 Scopus citations

Spiral flames

Panfilov, V., Bayliss, A. & Matkowsky, B. J., Feb 2003, In : Applied Mathematics Letters. 16, 2, p. 131-135 5 p.

Research output: Contribution to journalArticle

13 Scopus citations

Stability of planar flames as gasdynamic discontinuities

Class, A. G., Matkowsky, B. J. & Klimenko, A. Y., Sep 25 2003, In : Journal of fluid Mechanics. 491, p. 51-63 13 p.

Research output: Contribution to journalArticle

20 Scopus citations
2002

Dynamics of hot spots in solid fuel combustion

Bayliss, A., Matkowsky, B. J. & Aldushin, A. P., Jun 1 2002, In : Physica D: Nonlinear Phenomena. 166, 1-2, p. 104-130 27 p.

Research output: Contribution to journalArticle

24 Scopus citations
2001

Rapid, upward buoyant filtration combustion waves driven by convection

Wahle, C. W. & Matkowsky, B. J., Jan 1 2001, In : Combustion and Flame. 124, 1-2, p. 14-34 21 p.

Research output: Contribution to journalArticle

8 Scopus citations

Traveling and spiral waves for sequential flames with translation symmetry: Coupled CGL-Burgers equations

Golovin, A. A., Nepomnyashchy, A. A. & Matkowsky, B. J., Jan 1 2001, In : Physica D: Nonlinear Phenomena. 160, 1-2, p. 1-28 28 p., 2810.

Research output: Contribution to journalArticle

8 Scopus citations
2000

Diffusion driven combustion waves in porous media

Aldushin, A. P. & Matkowsky, B. J., Jan 1 2000, In : Combustion science and technology. 156, 1-6, p. 221-250 30 p.

Research output: Contribution to journalArticle

7 Scopus citations

Dynamics in layer models of solid flame propagation

Aldushin, A. P., Bayliss, A. & Matkowsky, B. J., Sep 1 2000, In : Physica D: Nonlinear Phenomena. 143, 1, p. 109-137 29 p.

Research output: Contribution to journalArticle

9 Scopus citations

Gas-phase influence on quasisteady 'liquid flames' in gravitational fields

Shkadinsky, K. G., Shkadinskaya, G. V. & Matkowsky, B. J., Jan 1 2000, In : Combustion Science and Technology. 157, 1-6, p. 87-110 24 p.

Research output: Contribution to journalArticle

3 Scopus citations

Slowly and rapidly propagating 'liquid flames' in gravitational fields

Shkadinsky, K. G., Shkadinskaya, G. V. & Matkowsky, B. J., Jan 1 2000, In : Combustion science and technology. 157, 1-6, p. 21-62 42 p.

Research output: Contribution to journalArticle

The reactive Rayleigh-Bénard problem with throughflow

Bayliss, A., Ma, T. K., Matkowsky, B. J. & Wahle, C. W., Dec 1 2000, In : SIAM Journal on Applied Mathematics. 61, 4, p. 1103-1142 40 p.

Research output: Contribution to journalArticle

3 Scopus citations
1999

Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction

Golovin, A. A., Matkowsky, B. J., Bayliss, A. & Nepomnyashchy, A. A., May 15 1999, In : Physica D: Nonlinear Phenomena. 129, 3-4, p. 253-298 46 p.

Research output: Contribution to journalArticle

11 Scopus citations

Extremum principles for selection in the Saffman-Taylor finger and Taylor-Saffman bubble problems

Aldushin, A. P. & Matkowsky, B. J., Jan 1 1999, In : Physics of Fluids. 11, 6, p. 1287-1296 10 p.

Research output: Contribution to journalArticle

9 Scopus citations

Interaction of counterpropagating hot spots in solid fuel combustion

Bayliss, A. & Matkowsky, B. J., Apr 1 1999, In : Physica D: Nonlinear Phenomena. 128, 1, p. 18-40 23 p.

Research output: Contribution to journalArticle

14 Scopus citations

Maximal energy accumulation in a superadiabatic filtration combustion wave

Aldushin, A. P., Rumanov, I. E. & Matkowsky, B. J., Jul 1 1999, In : Combustion and Flame. 118, 1-2, p. 76-90 15 p.

Research output: Contribution to journalArticle

100 Scopus citations
1998

Instabilities, Fingering and the saffman - Taylor problem in filtration combustion

Aldushin, A. P. & Matkowsky, B. J., Jan 1 1998, In : Combustion science and technology. 133, 4-6, p. 293-341 49 p.

Research output: Contribution to journalArticle

54 Scopus citations

Localized flickering cellular flames

Class, A., Bayliss, A. & Matkowsky, B. J., Jan 1 1998, In : SIAM Journal on Applied Mathematics. 59, 3, p. 942-964 23 p.

Research output: Contribution to journalArticle

3 Scopus citations

Rapid Filtration Combustion Waves Driven by Convection

Aldushin, A. P. & Matkowsky, B. J., Jan 1 1998, In : Combustion science and technology. 140, 1-6, p. 259-293 35 p.

Research output: Contribution to journalArticle

12 Scopus citations

Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension

Aldushin, A. P. & Matkowsky, B. J., Nov 1998, In : Applied Mathematics Letters. 11, 6, p. 57-62 6 p.

Research output: Contribution to journalArticle

2 Scopus citations

Traveling Waves in Natural Counterflow Filtration Combustion and Their Stability

Schult, D. A., Bayliss, A. & Matkowsky, B. J., Dec 1 1998, In : SIAM Journal on Applied Mathematics. 58, 3, p. 806-852 47 p.

Research output: Contribution to journalArticle

29 Scopus citations
1997

Buoyancy driven filtration combustion

Aldushin, A. P., Matkowsky, B. J. & Schult, D. A., Jan 1 1997, In : Combustion Science and Technology. 125, 1-6, p. 283-349 67 p.

Research output: Contribution to journalArticle

13 Scopus citations

Filtration combustion in moving media: One and two reaction zone structures

Shkadinsky, K. G., Shkadinskaya, G. V. & Matkowsky, B. J., Sep 1 1997, In : Combustion and Flame. 110, 4, p. 441-461 21 p.

Research output: Contribution to journalArticle

11 Scopus citations

Upward buoyant filtration combustion

Aldushin, A. P., Matkowsky, B. J. & Schult, D. A., Dec 1 1997, In : Journal of Engineering Mathematics. 31, 2-3, p. 205-234 30 p.

Research output: Contribution to journalArticle

21 Scopus citations
1996

Downward buoyant filtration combustion

Aldushin, A. P., Matkowsky, B. J. & Schult, D. A., Oct 1996, In : Combustion and Flame. 107, 1-2, p. 151-175 25 p.

Research output: Contribution to journalArticle

27 Scopus citations

Forced forward smolder combustion

Schult, D. A., Matkowsky, B. J., Volpert, V. & Fernandez-Pello, A. C., Jan 1 1996, In : Combustion and Flame. 104, 1-2, p. 1-26 26 p.

Research output: Contribution to journalArticle

110 Scopus citations

Gravitational effects on the SHS production of high porosity materials

Shkadinsky, K. G., Shkadinskaya, G. V. & Matkowsky, B. J., Jan 1 1996, In : Combustion science and technology. 118, 4-6, p. 313-342 30 p.

Research output: Contribution to journalArticle

2 Scopus citations

Gravity induced separation in "liquid flames"

Shkadinsky, K. G., Shkadinskaya, G. V. & Matkowsky, B. J., Jan 1 1996, In : Combustion science and technology. 115, 4-6, p. 229-258 30 p.

Research output: Contribution to journalArticle

12 Scopus citations

Structure and dynamics of kink and cellular flames stabilized on a rotating burner

Bayliss, A. & Matkowsky, B. J., Jan 1 1996, In : Physica D: Nonlinear Phenomena. 99, 2-3, p. 276-302 27 p.

Research output: Contribution to journalArticle

3 Scopus citations
1995

Adaptive approximation of solutions to problems with multiple layers by chebyshev pseudo-spectral methods

Bayliss, A., Class, A. & Matkowsky, B. J., Jan 1 1995, In : Journal of Computational Physics. 116, 1, p. 160-172 13 p.

Research output: Contribution to journalArticle

14 Scopus citations

Adaptive Pseudo-Spectral Domain Decomposition and the Approximation of Multiple Layers

Bayliss, A., Garbey, M. & Matkowsky, B. J., Jan 1 1995, In : Journal of Computational Physics. 119, 1, p. 132-141 10 p.

Research output: Contribution to journalArticle

13 Scopus citations

Mean field effects for counterpropagating traveling wave solutions of reaction-diffusion systems

Bernoff, A. J., Kuske, R., Matkowsky, B. J. & Volpert, V., Jan 1 1995, In : SIAM Journal on Applied Mathematics. 55, 2, p. 485-519 35 p.

Research output: Contribution to journalArticle

13 Scopus citations

Propagation and extinction of forced opposed flow smolder waves

Schult, D. A., Matkowsky, B. J., Volpert, V. & Fernandez-Pello, A. C., Jan 1 1995, In : Combustion and Flame. 101, 4, p. 471-490 20 p.

Research output: Contribution to journalArticle

81 Scopus citations

Roundoff Error in Computing Derivatives Using the Chebyshev Differentiation Matrix

Bayliss, A., Class, A. & Matkowsky, B. J., Feb 1995, In : Journal of Computational Physics. 116, 2, p. 380-383 4 p.

Research output: Contribution to journalArticle

59 Scopus citations