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Article
2003

Nonlinear dynamics in a simple model of solid flame microstructure

Beck, J. M. & Volpert, V., Aug 1 2003, In : Physica D: Nonlinear Phenomena. 182, 1-2, p. 86-102 17 p.

Research output: Contribution to journalArticle

30 Scopus citations

Weakly nonlinear stability analysis of frontal polymerization

Gross, L. K. & Volpert, V. A., May 1 2003, In : Studies in Applied Mathematics. 110, 4, p. 351-375 25 p.

Research output: Contribution to journalArticle

12 Scopus citations
2002

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

The effect of reactor geometry on frontal polymerization spin modes

Pojman, J. A., Masere, J., Petretto, E., Rustici, M., Huh, D. S., Kim, M. S. & Volpert, V., Mar 2002, In : Chaos. 12, 1, p. 56-65 10 p.

Research output: Contribution to journalArticle

40 Scopus citations

Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms

Volpert, A. I. & Volpert, V., Apr 1 2002, In : Nonlinear Analysis, Theory, Methods and Applications. 49, 1, p. 113-139 27 p.

Research output: Contribution to journalArticle

10 Scopus citations
2001

Linear stability analysis of non-adiabatic free-radical polymerizations waves

Spade, C. A. & Volpert, V., Apr 28 2001, In : Combustion Theory and Modelling. 5, 1, p. 21-39 19 p.

Research output: Contribution to journalArticle

21 Scopus citations

Transitions 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

Mathematical modeling of interfacial gel polymerization for weak and strong gel effects

Spade, C. A. & Volpert, V., Dec 18 2000, In : Macromolecular Theory and Simulations. 9, 1, p. 26-46 21 p.

Research output: Contribution to journalArticle

20 Scopus citations

On the steady-state approximation in thermal free radical frontal polymerization

Spade, C. A. & Volpert, V., Feb 1 2000, In : Chemical Engineering Science. 55, 3, p. 641-654 14 p.

Research output: Contribution to journalArticle

31 Scopus citations
1999

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

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

Mathematical modeling of interfacial gel polymerization

Spade, C. A. & Volpert, V., Jul 1 1999, In : Mathematical and Computer Modelling. 30, 1-2, p. 67-73 7 p.

Research output: Contribution to journalArticle

18 Scopus citations
1998

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

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

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

Nonadiabatic frontal polymerization

Goldfeder, P. M. & Volpert, V., Jan 1 1998, In : Journal of Engineering Mathematics. 34, 3, p. 301-318 18 p.

Research output: Contribution to journalArticle

19 Scopus citations
1997

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

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

Mathematical modeling of free-radical polymerization fronts

Goldfeder, P. M., Volpert, V., Ilyashenko, V. M., Khan, A. M., Pojman, J. A. & Solovyov, S. E., May 1 1997, In : Journal of Physical Chemistry B. 101, 18, p. 3474-3482 9 p.

Research output: Contribution to journalArticle

100 Scopus citations

Stability of 'liquid flame' combustion waves

Shkadinsky, K. G., Shkadinskaya, G. V. & Volpert, V. A., May 1997, In : Chemical Engineering Science. 52, 9, p. 1415-1428 14 p.

Research output: Contribution to journalArticle

4 Scopus citations
1996

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

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

Stability of reaction fronts

Volpert, V. A., Volpert, V., Garbey, M. & Pojman, J. A., Dec 1 1996, In : Springer Series in Chemical Physics. 61, p. 309-317 9 p.

Research output: Contribution to journalArticle

6 Scopus citations

Stability of uniformly propagating SHS waves in porous solids with melting and flow of reactants

Raymond, C. S. & Volpert, V. A., Oct 1996, In : Chemical Engineering Science. 51, 19, p. 4443-4462 20 p.

Research output: Contribution to journalArticle

5 Scopus citations
1995

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

Mean field effects for counterpropagating traveling wave solutions of reaction-diffusion systems

Bernoff, A. J., Kuske, R., Matkowsky, B. J. & Volpert, V., Jan 1 1995, In : SIAM Journal on Applied Mathematics. 55, 2, p. 485-519 35 p.

Research output: Contribution to journalArticle

13 Scopus citations

Propagation and extinction of forced opposed flow smolder waves

Schult, D. A., Matkowsky, B. J., Volpert, V. & Fernandez-Pello, A. C., Jan 1 1995, In : Combustion and Flame. 101, 4, p. 471-490 20 p.

Research output: Contribution to journalArticle

84 Scopus citations

Stoichiometric flames and their stability

Aldushin, A. P., Matkowsky, B. J. & Volpert, V. A., Apr 1995, In : Combustion and Flame. 101, 1-2, p. 15-25 11 p.

Research output: Contribution to journalArticle

6 Scopus citations
1994

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

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

Interaction of gasless and filtration combustion

Aldushin, A. P., Matkowsky, B. J. & Volpert, V. A., 1994, In : Combustion Science and Technology. 99, p. 75-103

Research output: Contribution to journalArticle

8 Scopus citations

Propagation of frontal polymerization—crystallization waves

Volpert, V. & Volpert, V., Jan 1 1994, In : European Journal of Applied Mathematics. 5, 2, p. 201-215 15 p.

Research output: Contribution to journalArticle

14 Scopus citations

Spiral gasless condensed phase combustion

Matkowsky, B. J. & Volpert, V., Jan 1 1994, In : SIAM Journal on Applied Mathematics. 54, 1, p. 132-146 15 p.

Research output: Contribution to journalArticle

12 Scopus citations
1993

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

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

Phase transition kinetics of vanadium pentoxide. II. Theoretical results

Marks, L. D., Volpert, V. A. & Ai, R., Jan 10 1993, In : Surface Science. 280, 3, p. 375-382 8 p.

Research output: Contribution to journalArticle

8 Scopus citations

Self compaction or expansion in combustion synthesis of porous materials

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V. A., Mar 1 1993, In : Combustion science and technology. 89, 1-4, 1 p.

Research output: Contribution to journalArticle

Self-Compaction or Expansion in Combustion Synthesis of Porous Materials

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V. A., Feb 1 1993, In : Combustion science and technology. 88, 3-4, p. 271-292 22 p.

Research output: Contribution to journalArticle

13 Scopus citations

Stability of plane wave solutions of complex Ginzburg-Landau equations

Matkowsky, B. J. & Volpert, V. A., 1993, In : Quarterly of Applied Mathematics. L1, p. 265-281

Research output: Contribution to journalArticle

Two-front traveling waves in filtration combustion

Shkadinsky, K. G., Shkadinskaya, G. V., Matkowsky, B. J. & Volpert, V., Jan 1 1993, In : SIAM Journal on Applied Mathematics. 53, 1, p. 128-140 13 p.

Research output: Contribution to journalArticle

10 Scopus citations
1992

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

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

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

Mathematical modeling of SHS processes

Shkadinsky, K. G., Matkowsky, B. J. & Volpert, V. A., 1992, In : International Journal of Self-Propagating High-Temperature Synthesis. 1, p. 46-53

Research output: Contribution to journalArticle

Nonlocal amplitude equations in reaction diffusion systems

Matkowsky, B. J. & Volpert, V. A., 1992, In : Random and Computational Dynamics. 1, p. 33-58

Research output: Contribution to journalArticle

The existence and stability of steady states of combustion in a flow

Vol'pert, V. A. & El'kin, B. S., Jan 1 1992, In : Journal of Applied Mathematics and Mechanics. 56, 3, p. 456-460 5 p.

Research output: Contribution to journalArticle

Two-dimensional combustion modes in condensed flow

Volpert, V. A., Volpert, V. A., Davtyan, S. P., Megrabova, I. N. & Surkov, N. F., 1992, In : SIAM Journal on Applied Mathematics. 52, 2, p. 368-383 16 p.

Research output: Contribution to journalArticle

17 Scopus citations