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A model of frontal polymerization including the gel effect

Goldfeder, P. M. & Volpert, V., Jan 1 1998, In : Mathematical Problems in Engineering. 4, 5, p. 377-391 15 p.

Research output: Contribution to journalArticle

14 Scopus citations

A Model of Frontal Polymerization Using Complex Initiation

Goldfeder, P. M. & Volpert, V., Jan 1 1999, In : Mathematical Problems in Engineering. 5, 2, p. 139-160 22 p.

Research output: Contribution to journalArticle

14 Scopus citations

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

Analysis of nonunidimensional combustion regimes by bifurcation theory methods

Volpert, V. A. & Merzhanov, A. G., 1982, In : Doklady Physical Chemistry. 263, p. 239-242

Research output: Contribution to journalArticle

An asymptotic theory of condensed phase combustion with inert melting

Raymond, C. S. & Volpert, V., Jan 1 1999, In : Applied Mathematics Letters. 12, 3, p. 89-94 6 p.

Research output: Contribution to journalArticle

1 Scopus citations

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

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

Application of a minimax method in combustion problems

Vol'pert, V. A., Vol'pert, V. A. & Davtyan, D. S., Jul 1 1990, In : Combustion, Explosion, and Shock Waves. 26, 4, p. 371-376 6 p.

Research output: Contribution to journalArticle

Application of bifurcation theory to investigation of spin waves of combustion

Volpert, V. A. & Merzhanov, A. G., 1982, In : Doklady Physical Chemistry. 262, p. 55-58

Research output: Contribution to journalArticle

Application of the theory of bifurcations to the investigation of nonstationary combustion regimes

Vol'pert, V. A., Vol'pert, A. I. & Merzhanov, A. G., Jul 1 1983, In : Combustion, Explosion, and Shock Waves. 19, 4, p. 435-438 4 p.

Research output: Contribution to journalArticle

14 Scopus citations

A simple model of two-dimensional solid flame microstructure

Beck, J. M. & Volpert, V. A., Dec 1 2003, In : Combustion Theory and Modelling. 7, 4, p. 795-812 18 p.

Research output: Contribution to journalArticle

8 Scopus citations

Bifurcations of waves described by parabolic systems in cylinders

Volpert, V. A., 1985, In : Diferentsialnie Uravneniya. 21, p. 1068-1071

Research output: Contribution to journalArticle

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

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

Combustion of porous samples with deformation of high temperature products

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V. A., 1992, In : International Journal of Self-Propagating High-Temperature Synthesis. 1, p. 371-391

Research output: Contribution to journalArticle

Combustion of porous samples with melting and flow of reactants

Aldushin, A. P., Matkowsky, B. J., Shkadinsky, K. G., Shkadinskaya, G. V. & Volpert, V., Sep 1 1994, In : Combustion science and technology. 99, 4-6, p. 313-343 31 p.

Research output: Contribution to journalArticle

14 Scopus citations

Combustion of porous samples with oscillatory deformation of products

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V. A., 1994, In : International Journal of Self-Propagating High-Temperature Synthesis. 3, p. 1-16

Research output: Contribution to journalArticle

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

7 Scopus citations

Combustion Synthesis of a Porous Layer

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V. A., Feb 1 1993, In : Combustion science and technology. 88, 3-4, p. 247-270 24 p.

Research output: Contribution to journalArticle

10 Scopus citations

Combustion waves with wide reaction zones

Volpert, V. A., Jul 1997, In : Applied Mathematics Letters. 10, 4, p. 59-64 6 p.

Research output: Contribution to journalArticle

4 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
15 Scopus citations

Condensed phase reaction waves with variable thermo-physical characteristics

Volpert, V. A. & Volpert, V. A., Jan 1 1997, In : Combustion science and technology. 127, 1-6, p. 29-53 25 p.

Research output: Contribution to journalArticle

3 Scopus citations

Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion

Matkowsky, B. J. & Volpert, V., Jan 1 1992, In : Physica D: Nonlinear Phenomena. 54, 3, p. 203-219 17 p.

Research output: Contribution to journalArticle

28 Scopus citations

Determination of the asymptotic of the combustion wave velocity by successive approximations

Vol'pert, V. A. & Vol'pert, V. A., Sep 1 1990, In : Journal of Applied Mechanics and Technical Physics. 31, 5, p. 680-686 7 p.

Research output: Contribution to journalArticle

1 Scopus citations

Determination of the combustion wave velocity and polymerization

Vol'pert, V. A., Megrabova, I. N. & Davtyan, S. P., Mar 1 1985, In : Combustion, Explosion, and Shock Waves. 21, 2, p. 151-157 7 p.

Research output: Contribution to journalArticle

Dopant distribution in isothermal frontal polymerization

Schult, D. A., Spade, C. A. & Volpert, V. A., Aug 2002, In : Applied Mathematics Letters. 15, 6, p. 749-754 6 p.

Research output: Contribution to journalArticle

7 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

Effect of reagent melting on combustion stability of gasless systems

Aldushin, A. P., Volpert, V. A. & Filipenko, V. P., 1987, In : Combustion, Explosion and Shock Waves. 23, p. 408-414

Research output: Contribution to journalArticle

15 Scopus citations

Effect of thermal expansion on stability of reaction front propagation

Volpert, V. A., Volpert, V. & Pojman, J. A., Jan 1 1994, In : Chemical Engineering Science. 49, 14, p. 2385-2388 4 p.

Research output: Contribution to journalArticle

17 Scopus citations

Enhancement of gasless combustion synthesis by counterflow gas filtration

Aldushin, A. P., Matkowsky, B. J. & Volpert, V. A., 1995, In : Combustion Science and Technology. 103, p. 1-20

Research output: Contribution to journalArticle

6 Scopus citations

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

20 Scopus citations

Existence and stability of stationary regimes of combustion in a flow

Vol'pert, V. A. & El'kin, B. S., May 1 1992, In : Prikladnaya Matematika i Mekhanika. 56, 3, p. 544-549 6 p.

Research output: Contribution to journalArticle

Filtration combustion with self-deformation

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V. A., 1993, In : Journal of Material Synthesis and Processing. 1, p. 245-274

Research output: Contribution to journalArticle

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

113 Scopus citations

Free-radical frontal copolymerization: The dependence of the front velocity on the monomer feed composition and reactivity ratios

Perry, M. F., Volpert, V., Lewis, L. L., Nichols, H. A. & Pojman, J. A., May 20 2003, In : Macromolecular Theory and Simulations. 12, 4, p. 276-286 11 p.

Research output: Contribution to journalArticle

35 Scopus citations

Frontal polymerization in a porous medium

Volpert, V. A., Volpert, V. A., Ilyashenko, V. M. & Pojman, J. A., May 1 1998, In : Chemical Engineering Science. 53, 9, p. 1655-1665 11 p.

Research output: Contribution to journalArticle

8 Scopus citations

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

3 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

Frontal regimes of an exothermal reaction with radially symmetric injection of reagents

Babadzhanyan, A. S., Vol'pert, V. A., Vol'pert, V. A., Davtyan, S. P. & Megrabova, I. N., Nov 1 1988, In : Combustion, Explosion, and Shock Waves. 24, 6, p. 711-719 9 p.

Research output: Contribution to journalArticle

9 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

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

Gapped gapless packing structures

Beck, J. M. & Volpert, V., Jun 1 2003, In : Journal of Colloid And Interface Science. 262, 1, p. 162-170 9 p.

Research output: Contribution to journalArticle

2 Scopus citations

Gravitational effects on liquid flamethermite systems

Raymond, C. S., Shkadinsky, K. G. & Volpert, V. A., Jan 1 1998, In : Combustion science and technology. 131, 1-6, p. 107-129 23 p.

Research output: Contribution to journalArticle

6 Scopus citations

Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model

Tzou, J. C., Ma, Y. P., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., Feb 14 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 87, 2, 022908.

Research output: Contribution to journalArticle

8 Scopus citations

Hydrodynamic stability of a polymerization front

Volpert, V. A., Volpert, V., Pojman, J. A. & Solovyov, S. E., Jun 1 1996, In : European Journal of Applied Mathematics. 7, 3, p. 303-320 18 p.

Research output: Contribution to journalArticle

13 Scopus citations

Initiation of free-radical polymerization waves

Ritter, L. R., Olmstead, W. E. & Volpert, V. A., Jun 1 2003, In : SIAM Journal on Applied Mathematics. 63, 5, p. 1831-1848 18 p.

Research output: Contribution to journalArticle

7 Scopus citations