see Google scholar for most up-to-date information
| Author/s | Publication Title | Year |
|---|---|---|
| D.E. Devadoss, J.A. Pojman, V.A. Volpert | Mathematical modeling of thiol-ene frontal polymeriza tion, Chemical Engineering Science 61, pp. 1261–1275. | 2006 |
| D.M.G. Comissiong, L.K. Gross, V.A. Volpert | Frontal polymerization in the presence of an inert material, Journal of Engineering Mathematics 54, pp. 389–402. | 2006 |
| A.A. Nepomnyashchy, A.A. Golovin, A.E. Tikhomirova and V.A. Volpert | Nucleation and growth of droplets at a liquid-gas interface, Phys. Rev. E 74, art. 021605. | 2006 |
| A.E. Tikhomirova and V.A. Volpert | Nonlinear dynamics of endothelial cells, Appl. Math. Lett. 20, No. 2, pp. 163–169. | 2007 |
| D.M.G. Comissiong, L.K. Gross, V.A. Volpert | The enhancement of weakly exothermic polymerization fronts, Journal of Engineering Mathematics 57, pp. 423–435. | 2007 |
| A.A. Golovin, V.A. Volpert | Photo-Marangoni convection in a thin liquid film, Physics of Fluids 19, art. 122104. | 2007 |
| V.A. Volpert, A.A. Nepomnyashchy, L.G. Stanton, A.A. Golovin | Bounded solutions of nonlocal complex Ginzburg-Landau equations for a subcritical bifurcation, SIAM J. Appl. Dynam. Sys. 7, pp. 265–283. | 2008 |
| M.S. Levine, A.A. Golovin, V.A. Volpert | Step-flow growth of a crystal surface by Levy flights, Europhysics Letters 82, art. 28007. | 2008 |
| A.A. Golovin, V.A. Volpert | Marangoni convection in a photo-chemically reacting liquid, Mathematical Modelling of Natural Phenomena 3, pp. 27–54. | 2008 |
| S. Balasuriya, V.A. Volpert | Wavespeed analysis: Approximating Arrhenius kinetics with step-functions, Combustion Theory and Modelling 12, pp. 643–670. | 2008 |
| A.A. Golovin, B.J. Matkowsky, V.A. Volpert | Turing pattern formation in the Brusselator model with superdiffusion, SIAM J. Appl. Math. 69, pp. 251–272. | 2008 |
| J.C. Tzou, B.J. Matkowsky, V.A. Volpert | Interaction of Turing and Hopf modes in the superdiffusive Brusselator model, Applied Mathematics Letters 22, pp. 1432–1437. | 2009 |
| E. Urdiales, V.A. Volpert | Frontal polymerization with encapsulated initiator, Journal of Engineering Mathematics 67, pp. 329–340. | 2010 |
| E. Urdiales, V.A. Volpert | Frontal polymerization with encapsulated monomer, Journal of Mathematical Chemistry 47, pp. 1038–1053. | 2010 |
| V.A. Volpert, Y. Nec, A.A. Nepomnyashchy | Exact solutions in front propagation problems with superdiffusion, Physica D 239, pp. 134–144. | 2010 |
| Y. Nec, V.A. Volpert, A.A. Nepomnyashchy | Front propagation problems with sub-diffusion, Discrete and Continuous Dynamical Systems A 27, No. 2, pp. 827–846. | 2010 |
| J.C. Tzou, A. Bayliss, B.J. Matkowsky, V.A. Volpert | Interaction of Turing and Hopf modes in the superdiffusive Brusselator model near a codimension two bifurcation point, Math. Model. Nat. Phenom. 6, pp. 87–118. | 2011 |
| E. Urdiales, V.A. Volpert | Linear stability analysis of spherically propagating thermal frontal polymer ization waves, Journal of Engineering Mathematics 71, pp. 279-290. | 2011 |
| J.C. Tzou, A. Bayliss, B.J. Matkowsky, V.A. Volpert | Stationary and slowly moving localized pulses in the singularly perturbed Brusselator model, Euro J. Appl. Math. 22, pp. 423–453. | 2011 |
| E.M. Lennon, M.C. Tanzy, V.A. Volpert, A.S. Mukasyan, A. Bayliss | Combustion of reactive solutions impregnated into a cellulose carrier: Modeling of two combustion fronts, Chemical Engineering Journal 174, pp. 333-340. | 2011 |
| A. Bayliss, E.M. Lennon, M.C. Tanzy, V.A. Volpert | Solution of adiabatic and non-adiabatic com bustion problems using step-function reaction models, Journal of Engineering Mathematics 79, pp. 101-124. | 2013 |
| M.C. Tanzy, E.M. Lennon, V.A. Volpert, A. Bayliss | Competing reactions in condensed phase combustion: Wave structure and stability, Journal of Engineering Mathematics 80, pp. 129-145. | 2013 |
| V.A. Volpert, Y. Nec, A.A. Nepomnyashchy | Fronts in anomalous diffusion-reaction systems, Philo sophical Transactions of the Royal Society A 371, art. 20120179. | 2013 |
| B.L. Segal, V.A. Volpert, A. Bayliss | Pattern formation in a model of competing populations with nonlocal interactions, Physica D 253, pp. 12-22. | 2013 |
| A.A. Nepomnyashchy, V.A. Volpert | An exactly solvable model of subdiffusion-reaction front propaga tion, Journal of Physics A 46, art. 065101. | 2013 |
| A.A. Nepomnyashchy, V.A. Volpert | Particle growth in a subdiffusive medium, Physica Scripta T155, art. 014045. | 2013 |
| J.C. Tzou, Y.-P. Ma, A. Bayliss, B.J. Matkowsky, V.A. Volpert | Homoclinic snaking near a codimension two Turing-Hopf bifurcation point in the Brusselator model, Physical Review E 87, art. 022908. | 2013 |
| M. C. Tanzy, V. A. Volpert, A. Bayliss, M. E. Nehkron | Stability and pattern formation for competing populations with asymmetric nonlocal coupling, Mathematical Biosciences 246, pp. 14-26. | 2013 |
| V.A. Volpert, Y. Kanevsky, A.A. Nepomnyashchy | Propagation failure for a front between stable states in a system with subdiffusion, Physical Review E 89, art. 012901 | 2014 |
| M.C. Tanzy, V.A. Volpert, A. Bayliss, M.E. Nehrkorn | A Nagumo-type model for competing populations with nonlocal coupling, Mathematical Biosciences 263, pp. 70-82. | 2015 |
| A. Bayliss, V.A. Volpert | Patterns for competing populations with species specific nonlocal coupling, Math. Model. Nat. Phenom. 10, No. 6, pp. 30-47 | 2015 |
| A.A. Nepomnyashchy, V.A. Volpert | Pore growth in a planar liquid membrane, Math. Model. Nat. Phenom. 10, No. 4, pp. 76-82. | 2015 |
| V.A. Volpert, A.A. Nepomnyashchy | Similarity solution of a Stefan drug-release subdiffusion problem, Physica Scripta 91, art. 044005. | 2016 |
| E. A. Autry, A. Bayliss and V. A. Volpert | Traveling waves in a nonlocal, piecewise linear reaction diffusion population model, Nonlinearity 30, pp. 3304 – 3331 | 2017 |
| A. Bayliss, V.A. Volpert | Complex predator invasion waves in a Holling-Tanner model with nonlocal prey interaction, Physica D 346, pp. 37 – 58. | 2017 |
| V.A. Volpert, A.A. Nepomnyashchy, Y. Kanevsky | Drug diffusion in a swollen polymer, SIAM J. Appl. Math. 78, pp. 124–144. | 2018 |
| E. A. Autry, A. Bayliss and V. A. Volpert | Biological control with nonlocal interactions, Mathematical Biosciences 301, pp. 129–146. | 2018 |
| A. Bayliss, A.A. Nepomnyashchy, V.A. Volpert | Mathematical modeling of cyclic population dynamics, Physica D 394, pp. 56–78. | 2019 |
| A.A. Nepomnyashchy, V.A. Volpert | Fronts in subdiffusive FitzHugh-Nagumo systems, MMNP 14, No. 5 art. 504. | 2019 |
| A. Bayliss, A.A. Nepomnyashchy, V.A. Volpert | Beyond rock-paper-scissors systems – deterministic models of cyclic ecological systems with more than three species, Physica D 411, art. 132585. | 2020 |
| A. Bayliss, E. Shafirovich, V.A. Volpert | Counterflow combustion waves in short samples of metal powders at natural filtration of oxygen, Combustion Theory and Modelling 26 (2022), pp. 746–773; | 2022 |
| Z. Wang, A. Bayliss, V. A. Volpert | Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system, Applied Mathematics and Computations 432 (2022), art.127371; | 2022 |
| T.I. Stiadle, A. Bayliss, V.A. Volpert | Cyclic ecological systems with an exceptional species, Applied Mathematics and Computations 443 (2022), art.127739; | 2022 |
| T.I. Stiadle, A. Bayliss, V.A. Volpert | Order and disorder in a cyclically competitive ecological community, SIAM J. Appl. Dynamical Systems 22 (2023), pp. 129-161. | 2023 |