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Research Output 1962 2019

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

Caustic
Eigenvalues and eigenfunctions
Boundary Layer
Boundary layers
Half line
2018

A boundary layer approach to creeping waves

Matkowsky, B. J., Dec 1 2018, In : Applied Mathematics Letters. 86, p. 320-325 6 p.

Research output: Contribution to journalArticle

Boundary Layer
Boundary layers
Eigenvalues and eigenfunctions
Eigenfunctions
Wavelength
Kolmogorov Equation
Singular Perturbation
Applied mathematics
Dynamical systems
Dynamical system

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

Singular Perturbation
Matched Asymptotic Expansions
Dynamical systems
Dynamical system
White noise
2013
7 Citations (Scopus)
lateral oscillation
Homoclinic
Turing
Bifurcation Point
Hopf Bifurcation
2011
12 Citations (Scopus)
Turing
Bifurcation Point
Codimension
Superdiffusion
Interaction
13 Citations (Scopus)

Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model

Tzou, J. C., Bayliss, A., Matkowsky, B. J. & Volpert, V., Oct 1 2011, In : European Journal of Applied Mathematics. 22, 5, p. 423-453 31 p.

Research output: Contribution to journalArticle

Singularly Perturbed
Delta functions
Inhibitor
Linearization
Nonlinear equations
2009
8 Citations (Scopus)

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

Turing
Interaction
Spatio-temporal Patterns
Codimension
Model
8 Citations (Scopus)

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

oxidation
Oxidation
Temperature
temperature
extinction
2008
flames
rods
flame propagation
heat transfer
analogs
56 Citations (Scopus)

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

Turing Patterns
Superdiffusion
Pattern Formation
Turing Instability
Amplitude Equations
2007
4 Citations (Scopus)

On the mechanism of triggering the transition from smoldering to flaming

Aldushin, A. P., Bayliss, A. & Matkowsky, B. J., Jan 1 2007, In : Proceedings of the Combustion Institute. 31 II, 2, p. 2661-2668 8 p.

Research output: Contribution to journalConference article

smoldering
Oxidation
oxidation
Gases
actuators
2006
29 Citations (Scopus)

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

Crystallization
Melting
melting
crystallization
Substrates
3 Citations (Scopus)

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

Combustion Wave
Flame
Extinction
Heat losses
Heat
30 Citations (Scopus)

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

smoldering
Oxidation
oxidation
Gases
reaction kinetics

Spatiotemporal pattern formation in solid fuel combustion

Bayliss, A., Matkowsky, B. J. & Volpert, V. A., 2006, Proceedings of NATO ASI. Golovin, A. A. & Nepomnyashchy, A. A. (eds.). Springer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spatiotemporal Pattern Formation in Solid Fuel Combustion

Matkowsky, B. J., 2006, Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems. Dordrecht, The Netherlands: Springer, Vol. 218. p. 247-282 (Mathematics, Physics and Chemistry)(Mathematics, Physics and Chemistry).

Research output: Chapter in Book/Report/Conference proceedingChapter

2005
3 Citations (Scopus)

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

Flame
Heat Transfer
Heat transfer
Ring
Dispersion Relation
2004

On Flames as Discontinuity Surfaces in Gasdynamic Flows: The Joseph B. Keller Anniversary Volume

Matkowsky, B. J., 2004, A Celebration of Mathematical Modeling: The Joseph B. Keller Anniversary Volume. Kluwer

Research output: Chapter in Book/Report/Conference proceedingChapter

2003
6 Citations (Scopus)

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

flames
flame propagation
planetary waves
chemical reactions
symmetry
30 Citations (Scopus)

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

flames
discontinuity
Lewis numbers
cut-off
unity

Bound States of Asymmetric Hot Spots in Solid Fuel Combustion

Matkowsky, B. J., 2003, Bifurcations, Symmetry and Patterns. Birkhauser Verlag, p. 167-174 (Trends in Mathematics)(Trends in Mathematics).

Research output: Chapter in Book/Report/Conference proceedingChapter

40 Citations (Scopus)

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

flame propagation
extinction
Gases
gases
traveling waves

Solid Flame Waves: A Celebratory Volume in Honor of Larry Sirovich

Matkowsky, B. J., Bayliss, A. & Aldushin, A., 2003, Perspectives and Problems in Nonlinear Science: A Celebratory Volume in Honor of Larry Sirovich. Kaplan, E., Marsden, J. & Sreenivasan, K. (eds.). Springer-Verlag

Research output: Chapter in Book/Report/Conference proceedingChapter

13 Citations (Scopus)

Spiral flames

Panfilov, V., Bayliss, A. & Matkowsky, B. J., Jan 1 2003, In : Applied Mathematics Letters. 16, 2, p. 131-135 5 p.

Research output: Contribution to journalArticle

Reaction-diffusion Model
Flame
20 Citations (Scopus)

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

flames
discontinuity
cut-off
premixed flames
Wavelength
2002

A World of SHS Wave Modes

Matkowsky, B. J. & Bayliss, A., 2002, Self-Propagating High-Temperature Synthesis of Materials. Borisov, A., De Luca, L. & Merzhanov, A. G. (eds.). Taylor and Francis, Vol. 5. (Combustion Science and Technology)(Combustion Science and Technology; no. 8).

Research output: Chapter in Book/Report/Conference proceedingChapter

23 Citations (Scopus)

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

fuel combustion
traveling waves
flames
flame propagation
modulation

Mathematical Modeling of SHS Processes

Matkowsky, B. J., Aldushin, A. P., Shkadinsky, K. G., Shkadinskaya, G. V. & Volpert, V. A., 2002, Self-Propagating High-Temperature Synthesis of Materials. Borisov, A., De Luca, L. & Merzhanov, A. G. (eds.). Taylor and Francis, Vol. 5. (Combustion Science and Technology)(Combustion Science and Technology; no. 7).

Research output: Chapter in Book/Report/Conference proceedingChapter

2001
8 Citations (Scopus)

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

flame propagation
convection
Gases
gases
Fluxes
8 Citations (Scopus)

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

Burger equation
traveling waves
flames
symmetry
Landau-Ginzburg equations
2000
7 Citations (Scopus)

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

flame propagation
Porous materials
oxidizers
porosity
propagation
9 Citations (Scopus)

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

flame propagation
electric contacts
wave propagation
heat
propagation
3 Citations (Scopus)

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

flame propagation
gravitational fields
flames
Gases
vapor phases

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

gravitational fields
flames
Liquids
liquids
heat transfer
3 Citations (Scopus)

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

Flame
Rayleigh
Merging
Fluids
Horizontal
1999
10 Citations (Scopus)

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

Burger equation
flames
blinking
flame propagation
strange attractors
9 Citations (Scopus)

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

range (extremes)
bubbles
perturbation
interfacial tension
fluids
14 Citations (Scopus)

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

fuel combustion
interactions
flame propagation
synthesis
coolers
100 Citations (Scopus)

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

flame propagation
combustion temperature
heat
oxidizers
Gases
1998
54 Citations (Scopus)

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

combustion products
flame propagation
interfacial tension
oxidizers
propagation
3 Citations (Scopus)

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

Flickering
Flame
Fuel burners
Cellular arrays
Kuramoto-Sivashinsky Equation
12 Citations (Scopus)

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

flame propagation
convection
heat
Gases
temperature
2 Citations (Scopus)

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

Aldushin, A. P. & Matkowsky, B. J., Jan 1 1998, In : Applied Mathematics Letters. 11, 6, p. 57-62 6 p.

Research output: Contribution to journalArticle

Surface Tension
Bubble
Surface tension
Fluids
Porous materials
29 Citations (Scopus)

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

Combustion
Traveling Wave
Filtration
Gases
Activation Energy
1997
13 Citations (Scopus)

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

Buoyancy
buoyancy
flame propagation
Gases
gases

Cellular Flame Patterns and Dynamics: in Honor of Ya.B. Zeldovich

Matkowsky, B. J., 1997, Advances in Combustion Science: in Honor of Ya.B. Zeldovich. Vol. 173. (Prog. in Astronautics and Aeronautics of the AIAA)(Prog. in Astronautics and Aeronautics of the AIAA; no. 10).

Research output: Chapter in Book/Report/Conference proceedingChapter

11 Citations (Scopus)

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

Oxidants
Temperature
Spatial distribution
Porous materials
combustion temperature

Gravitational effects in smoldering and SHS

Matkowsky, B. J., 1997, NASA Conference Publication. Anon (ed.). 10194 ed. NASA, p. 19-24 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gravitational effects
Microgravity
Liquids
Buoyancy
Flow of gases