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Research Output

2020
2019

Mathematical modeling of cyclic population dynamics

Bayliss, A., Nepomnyashchy, A. A. & Volpert, V., Jan 1 2019, In : Physica D: Nonlinear Phenomena.

Research output: Contribution to journalArticle

1 Scopus citations
2018

Biological control with nonlocal interactions

Autry, E. A., Bayliss, A. & Volpert, V., Jul 1 2018, In : Mathematical Biosciences. 301, p. 129-146 18 p.

Research output: Contribution to journalArticle

3 Scopus citations
2017
15 Scopus citations

EXPERIMENTAL AND NUMERICAL RESULTS OF SOUND SCATTERING BY A BODY.

Maestrello, L. & Bayliss, A., Jan 1 2017, In : AGARD Report. 686, p. 15. 1-15. 12

Research output: Contribution to journalConference article

Traveling waves in a nonlocal, piecewise linear reaction-diffusion population model

Autry, E. A., Bayliss, A. & Volpert, V. A., Jul 21 2017, In : Nonlinearity. 30, 8, p. 3304-3331 28 p.

Research output: Contribution to journalArticle

1 Scopus citations
2015

A Nagumo-type model for competing populations with nonlocal coupling

Tanzy, M. C., Volpert, V., Bayliss, A. & Nehrkorn, M. E., May 1 2015, In : Mathematical Biosciences. 263, p. 70-82 13 p.

Research output: Contribution to journalArticle

6 Scopus citations

Patterns for Competing Populations with Species Specific Nonlocal Coupling

Bayliss, A. & Volpert, V. A., Jan 1 2015, In : Mathematical Modelling of Natural Phenomena. 10, 6, p. 30-47 18 p.

Research output: Contribution to journalArticle

11 Scopus citations
2013

Competing reactions in condensed phase combustion: Wave structure and stability

Tanzy, M. C., Lennon, E. M., Volpert, V. & Bayliss, A., Jan 1 2013, In : Journal of Engineering Mathematics. 80, 1, p. 129-145 17 p.

Research output: Contribution to journalArticle

1 Scopus citations
8 Scopus citations

Pattern formation in a model of competing populations with nonlocal interactions

Segal, B. L., Volpert, V. & Bayliss, A., Jun 15 2013, In : Physica D: Nonlinear Phenomena. 253, p. 12-22 11 p.

Research output: Contribution to journalArticle

32 Scopus citations

Solution of adiabatic and nonadiabatic combustion problems using step-function reaction models

Bayliss, A., Lennon, E. M., Tanzy, M. C. & Volpert, V. A., Apr 1 2013, In : Journal of Engineering Mathematics. 79, 1, p. 101-124 24 p.

Research output: Contribution to journalArticle

9 Scopus citations

Stability and pattern formation for competing populations with asymmetric nonlocal coupling

Tanzy, M. C., Volpert, V., Bayliss, A. & Nehrkorn, M. E., Nov 1 2013, In : Mathematical Biosciences. 246, 1, p. 14-26 13 p.

Research output: Contribution to journalArticle

12 Scopus citations
2011

Combustion of reactive solutions impregnated into a cellulose carrier: Modeling of two combustion fronts

Lennon, E. M., Tanzy, M. C., Volpert, V., Mukasyan, A. S. & Bayliss, A., Oct 15 2011, In : Chemical Engineering Journal. 174, 1, p. 333-340 8 p.

Research output: Contribution to journalArticle

6 Scopus citations
12 Scopus citations
13 Scopus citations
2009

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

9 Scopus citations
2008
2007

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

4 Scopus citations
2006

Low mach number modeling of type i x-ray burst deflagrations

Lin, D. J., Bayliss, A. & Taam, R. E., Dec 10 2006, In : Astrophysical Journal. 653, 1 I, p. 545-557 13 p.

Research output: Contribution to journalArticle

14 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

4 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

32 Scopus citations

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

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
2004

On the Transition from Spinning to Radial Solid Flame Waves

Park, J., Bayliss, A. & Matkowsky, B. J., 2004, In : Applied Mathematics Letters. 17, p. 123-131

Research output: Contribution to journalArticle

3 Scopus citations
2003

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

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

14 Scopus citations
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

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

Steady State Combustion Wave Characteristics

Aldushin, A. P., Bayliss, A. & Matkowsky, B. J., 2002, In : International Journal of Self-Propagating High-Temperature Synthesis. 11, p. 131-171

Research output: Contribution to journalArticle

Transition to Chaos in Condensed Phase Combustion with Reactant Melting

Raymond, C. S., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., 2001, In : International Journal of Self-Propagating High-Temperature Synthesis. 10, p. 133-149

Research output: Contribution to journalArticle

2000

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

The reactive Rayleigh-Bénard problem with throughflow

Bayliss, A., Ma, T. K., Matkowsky, B. J. & Wahle, C. W., Jan 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

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
1998

Interaction of sound from supersonic jets with nearby structures

Fenno, C. C., Bayliss, A. & Maestrello, L., Dec 1998, In : AIAA journal. 36, 12, p. 2153-2162 10 p.

Research output: Contribution to journalArticle

8 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

Nonaxisymmetric disturbances in a jet and their effect on structural loading

Bayliss, A. & Maestrello, L., Jan 1 1998.

Research output: Contribution to conferencePaper

Traveling Waves in Natural Counterflow Filtration Combustion and Their Stability

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

Research output: Contribution to journalArticle

29 Scopus citations
1997

Interaction of sound from supersonic jets with nearby structures

Fenno, C. C., Bayliss, A. & Maestrello, L., Jan 1 1997.

Research output: Contribution to conferencePaper

3 Scopus citations

Mechanics in the Engineering First curriculum at northwestern university

Belytschko, T., Bayliss, A., Brinson, L. C., Carr, S. H., Kath, W. L., Krishnaswamy, S., Moran, B., Nocedal, J. & Peshkin, M., Dec 1 1997, In : International Journal of Engineering Education. 13, 6, p. 457-472 16 p.

Research output: Contribution to journalArticle

21 Scopus citations

Panel-structure response to acoustic forcing by a nearly sonic jet

Fenoo, C. C., Bayliss, A. & Maestrello, L., Jan 1 1997, In : AIAA journal. 35, 2, p. 219-227 9 p.

Research output: Contribution to journalArticle

7 Scopus citations

Response of high subsonic jet to nonaxisymmetric disturbances

Bayliss, A. & Maestrello, L., 1997.

Research output: Contribution to conferencePaper

1 Scopus citations
1996

Forward motion effects on jet noise, panel vibration, and radiation

Bayliss, A., Maestrello, L., McGreevy, J. L. & Fenno, C. C., Jun 1996, In : AIAA journal. 34, 6, p. 1103-1110 8 p.

Research output: Contribution to journalArticle

8 Scopus citations

Response of a panel structure forced by the noise from a nearly sonic jet

Fenno, C. C., Bayliss, A. & Maestrello, L., 1996.

Research output: Contribution to conferencePaper

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

Interaction of jet noise with a nearby panel assembly

McGreevy, J. L., Bayliss, A. & Maestrello, L., Jan 1 1995, In : AIAA journal. 33, 4, p. 577-585 9 p.

Research output: Contribution to journalArticle

9 Scopus citations