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Article
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

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
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
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

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

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

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

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
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

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

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

Stability and error analysis for time integrators applied to strain-softening materials

Kulkarni, M., Belytschko, T. & Bayliss, A., Aug 1995, In : Computer Methods in Applied Mechanics and Engineering. 124, 4, p. 335-363 29 p.

Research output: Contribution to journalArticle

16 Scopus citations
1994

Coupling between plate vibration and acoustic radiation

Frendi, A., Maestrello, L. & Bayliss, A., Oct 20 1994, In : Journal of Sound and Vibration. 177, 2, p. 207-226 20 p.

Research output: Contribution to journalArticle

42 Scopus citations

From traveling waves to chaos in combustion

Bayliss, A. & Matkowsky, B. J., Jan 1 1994, In : SIAM Journal on Applied Mathematics. 54, 1, p. 147-174 28 p.

Research output: Contribution to journalArticle

36 Scopus citations

On the dynamics and the role of imperfections for localization in thermo-viscoplastic materials

Bayliss, A., Belytschko, T., Kulkarni, M. & Lott-Crumpler, D. A., Dec 1 1994, In : Modelling and Simulation in Materials Science and Engineering. 2, 5, p. 941-964 24 p., 001.

Research output: Contribution to journalArticle

22 Scopus citations

Structure and dynamics of Modulated Traveling Waves in cellular flames

Bayliss, A., Matkowsky, B. J. & Riecke, H., Jul 1 1994, In : Physica D: Nonlinear Phenomena. 74, 1-2, p. 1-23 23 p.

Research output: Contribution to journalArticle

28 Scopus citations
1993

Coupling between a supersonic boundary layer and a flexible surface

Frendi, A., Maestrello, L. & Bayliss, A., Apr 1993, In : AIAA journal. 31, 4, p. 708-713 6 p.

Research output: Contribution to journalArticle

12 Scopus citations

Localized ordered structures and flame stretch

Class, A., Bayliss, A. & Matkowsky, B. J., Jan 1 1993, In : Applied Mathematics Letters. 6, 5, p. 3-7 5 p.

Research output: Contribution to journalArticle

3 Scopus citations
1992

Mappings and accuracy for Chebyshev pseudo-spectral approximations

Bayliss, A. & Turkel, E., Jan 1 1992, In : Journal of Computational Physics. 101, 2, p. 349-359 11 p.

Research output: Contribution to journalArticle

84 Scopus citations