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Research Output

2020
2019

Fronts in subdiffusive FitzHugh-Nagumo systems

Nepomnyashchy, A. A. & Volpert, V. A., Jan 1 2019, In : Mathematical Modelling of Natural Phenomena. 14, 5, 504.

Research output: Contribution to journalArticle

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

Drug diffusion in a swollen polymer

Volpert, V. A., Nepomnyashchy, A. A. & Kanevsky, Y., Jan 1 2018, In : SIAM Journal on Applied Mathematics. 78, 1, p. 124-144 21 p.

Research output: Contribution to journalArticle

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
2016

Similarity solution of a stefan drug-release subdiffusion problem

Volpert, V. A. & Nepomnyashchy, A. A., Mar 24 2016, In : Physica Scripta. 91, 4, 044005.

Research output: Contribution to journalArticle

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

Pore Growth in a Planar Liquid Membrane

Nepomnyashchy, A. A. & Volpert, V. A., Jan 1 2015, In : Mathematical Modelling of Natural Phenomena. 10, 4, p. 76-82 7 p.

Research output: Contribution to journalArticle

2014

Propagation failure for a front between stable states in a system with subdiffusion

Volpert, V., Kanevsky, Y. & Nepomnyashchy, A. A., Jan 3 2014, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 89, 1, 012901.

Research output: Contribution to journalArticle

3 Scopus citations
2013

An exactly solvable model of subdiffusion-reaction front propagation

Nepomnyashchy, A. A. & Volpert, V., Feb 15 2013, In : Journal of Physics A: Mathematical and Theoretical. 46, 6, 065101.

Research output: Contribution to journalArticle

7 Scopus citations

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

Fronts in anomalous diffusion-reaction systems

Volpert, V., Nec, Y. & Nepomnyashchy, A. A., Jan 13 2013, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 371, 1982

Research output: Contribution to journalReview article

31 Scopus citations
8 Scopus citations

Particle growth in a subdiffusive medium

Nepomnyashchy, A. A. & Volpert, V., Jul 1 2013, In : Physica Scripta. 88, T155, 014045.

Research output: Contribution to journalArticle

1 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

Linear stability analysis of spherically propagating thermal frontal polymerization waves

Urdiales, E. & Volpert, V. A., Nov 1 2011, In : Journal of Engineering Mathematics. 71, 3, p. 279-290 12 p.

Research output: Contribution to journalArticle

Special section on controlled drug delivery

Nepomnyashchy, A. & Volpert, V., Jan 1 2011, In : SIAM Journal on Applied Mathematics. 71, 6, p. 2227-2228 2 p.

Research output: Contribution to journalEditorial

13 Scopus citations
2010

Exact solutions in front propagation problems with superdiffusion

Volpert, V., Nec, Y. & Nepomnyashchy, A. A., Jan 1 2010, In : Physica D: Nonlinear Phenomena. 239, 3-4, p. 134-144 11 p.

Research output: Contribution to journalArticle

19 Scopus citations

Frontal polymerization with encapsulated initiator

Urdiales, E. & Volpert, V. A., Jan 1 2010, In : Journal of Engineering Mathematics. 67, 4, p. 329-340 12 p.

Research output: Contribution to journalArticle

3 Scopus citations

Frontal polymerization with encapsulated monomer

Urdiales, E. & Volpert, V., Jan 1 2010, In : Journal of Mathematical Chemistry. 47, 3, p. 1038-1053 16 p.

Research output: Contribution to journalArticle

1 Scopus citations

Front propagation problems with sub-diffusion

Nec, Y., Volpert, V. & Nepomnyashchy, A. A., Jun 1 2010, In : Discrete and Continuous Dynamical Systems. 27, 2, p. 827-846 20 p.

Research output: Contribution to journalArticle

17 Scopus citations

Isothermal Frontal Polymerization

Lewis, L. L. & Volpert, V., Nov 8 2010, Nonlinear Dynamics with Polymers: Fundamentals, Methods and Applications. Wiley-VCH, p. 69-90 22 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

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

10 Scopus citations
2008

Bounded solutions of nonlocal complex ginzburg-Landau equations for a subcritical bifurcation

Volpert, V., Nepomnnyashchy, A. A., Stanton, L. G. & Golovin, A. A., Dec 11 2008, In : SIAM Journal on Applied Dynamical Systems. 7, 2, p. 265-283 19 p.

Research output: Contribution to journalArticle

4 Scopus citations

Marangoni convection in a photo-chemically reacting liquid

Golovin, A. A. & Volpert, V. A., Jan 1 2008, In : Mathematical Modelling of Natural Phenomena. 3, 1, p. 27-54 28 p.

Research output: Contribution to journalArticle

3 Scopus citations

Step-flow growth of a crystal surface by Lévy flights

Levine, M. S., Golovin, A. A. & Volpert, V., Apr 1 2008, In : EPL. 82, 2, 28007.

Research output: Contribution to journalArticle

7 Scopus citations

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

59 Scopus citations

Wavespeed analysis: Approximating Arrhenius kinetics with step-function kinetics

Balasuriya, S. & Volpert, V., Aug 1 2008, In : Combustion Theory and Modelling. 12, 4, p. 643-670 28 p.

Research output: Contribution to journalArticle

11 Scopus citations
2007

Nonlinear dynamics of endothelial cells

Tikhomirova, A. E. & Volpert, V., Feb 1 2007, In : Applied Mathematics Letters. 20, 2, p. 163-169 7 p.

Research output: Contribution to journalArticle

3 Scopus citations

Photo-Marangoni convection in a thin liquid film?

Golovin, A. A. & Volpert, V. A., Dec 2007, In : Physics of Fluids. 19, 12, 122104.

Research output: Contribution to journalArticle

4 Scopus citations

The enhancement of weakly exothermic polymerization fronts

Comissiong, D. M. G., Gross, L. K. & Volpert, V. A., Apr 1 2007, In : Journal of Engineering Mathematics. 57, 4, p. 423-435 13 p.

Research output: Contribution to journalArticle

1 Scopus citations
2006

Dynamics of thermal polymerization waves

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

Frontal polymerization in the presence of an inert material

Comissiong, D. M. G., Gross, L. K. & Volpert, V., Apr 1 2006, In : Journal of Engineering Mathematics. 54, 4, p. 389-402 14 p.

Research output: Contribution to journalArticle

2 Scopus citations

Mathematical modeling of radially propagating polymerization waves with the gel effect

Devadoss, D. E. & Volpert, V. A., Jan 15 2006, In : Applied Mathematics and Computation. 172, 2 SPEC. ISS., p. 1036-1053 18 p.

Research output: Contribution to journalArticle

2 Scopus citations

Mathematical modeling of thiol-ene frontal polymerization

Devadoss, D. E., Pojman, J. A. & Volpert, V. A., Feb 1 2006, In : Chemical Engineering Science. 61, 4, p. 1261-1275 15 p.

Research output: Contribution to journalArticle

11 Scopus citations
4 Scopus citations

Nucleation and growth of droplets at a liquid-gas interface

Nepomnyashchy, A. A., Golovin, A. A., Tikhomirova, A. E. & Volpert, V., Sep 5 2006, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 74, 2, 021605.

Research output: Contribution to journalArticle

26 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

A numerical analysis of initiation of polymerization waves

Heifetz, A., Ritter, L. R., Olmstead, W. E. & Volpert, V., Jan 1 2005, In : Mathematical and Computer Modelling. 41, 2-3, p. 271-285 15 p.

Research output: Contribution to journalArticle

4 Scopus citations

Interfacial phenomena in evaporation of binary mixtures,

Nepomnyashchy, A., Golovin, A., Tikhomirova, A. & Volpert, V. A., 2005, Interfacial phenomena in evaporation of binary mixtures,. Ivanov, Y., Manoach, E. & Kazanjiev, R. (eds.). Prof. Marin Drinov Academic Publishing House

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

30 Scopus citations

Nonlinear dynamics of frontal polymerization with autoacceleration

Comissiong, D. M. G., Gross, L. K. & Volpert, V. A., Sep 1 2005, In : Journal of Engineering Mathematics. 53, 1, p. 59-78 20 p.

Research output: Contribution to journalArticle

9 Scopus citations