Core Faculty

Vladimir Volpert

Vladimir Volpert

Professor of Engineering Sciences and Applied Mathematics

2145 Sheridan Road

Tech

Evanston, IL 60208-3109

v-volpert( at )northwestern.edu

Education

Ph.D. Chemical Physics, USSR Academy of Sciences, Russia

M.S. Mathematicas and Mechanics, Moscow State University, Moscow, Russia

B.S. Mathematics and Mechanics, Moscow State University, Moscow, Russia

Research Interests

Nonlinear dynamics and pattern formation; bifurcation and stability; traveling waves in reaction-diffusion systems; combustion; frontal polymerization

Significant Recognition

  • McCormick School Teaching Award
  • Northwestern Alumni Association Excellence in Teaching Award

Significant Professional Service

  • Editorial Board, International Journal of Self-Propagating High-Temperature Synthesis
  • Editorial Board, Mathematical Methods in the Applied Sciences

Selected Publications

  • Volpert, V.A.; Kanevsky, Y.; Nepomnyashchy, A.A., “Propagation failure for a front between stable states in a system with subdiffusion”, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, (2014)
  • Bayliss, A.; Tanzy, M.C.; Volpert, V.A.; Nehrkorn, M.E., “Stability and pattern formation for competing populations with asymmetric nonlocal coupling”, Mathematical Biosciences, (2013)
  • Bayliss, Alvin; Lennon, Erin M.; Tanzy, Matthew C.; Volpert, Vladimir A., “Competing reactions in condensed phase combustion: Wave structure and stability”, Journal of Engineering Mathematics, (2013)
  • Bayliss, Alvin; Lennon, Erin M.; Tanzy, Matthew C.; Volpert, Vladimir A., “Solution of adiabatic and nonadiabatic combustion problems using step-function reaction models”, Journal of Engineering Mathematics, (2013)
  • Volpert, V.A.; Nepomnyashchy, A.A., “An exactly solvable model of subdiffusion-reaction front propagation”, Journal of Physics A: Mathematical and Theoretical, (2013)
  • Volpert, V.A.; Nec, Y.; Nepomnyashchy, A.A., “Fronts in anomalous diffusion-reaction systems”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, (2013)
  • Bayliss, A.; Volpert, V.A.; Segal, B.L., “Pattern formation in a model of competing populations with nonlocal interactions”, Physica D: Nonlinear Phenomena, (2013)
  • Volpert, V.A.; Nepomnyashchy, A.A., “Particle growth in a subdiffusive medium”, Physica Scripta, (2013)
  • Tzou, J.C.; Ma, Y.-P.; Bayliss, A.; Matkowsky, B.J.; Volpert, V.A., “Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model”, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, (2013)
  • E. M. Lennon, M. C. Tanzy, V. A. Volpert, A. S. Mukasyan and A. Bayliss, “Combustion of reactive solutions impregnated into a cellulose carrier: Modeling of two combustion fronts”, Chemical Engineering Journal, (2011)
  • J. C. Tzou, A. Bayliss, B. J. Matkowsky and V. A. Volpert, “Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model”, European Journal of Applied Mathematics, (2011)
  • V Volpert, “Alexander A. Golovin (1962-2008) Obituary”, Mathematical Modelling of Natural Phenomena, (2011)
  • ... , A Bayliss, BJ Matkowsky, VA Volpert, “Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point”, ... Modelling of Natural ..., (2010)
  • Y NEC;VA VOLPERT;AA NEPOMNYASHCHY, “FRONT PROPAGATION PROBLEMS WITH SUB-DIFFUSION”, Discrete and Continuous Dynamical Systems, (2010)
  • E Urdiales;VA Volpert, “Frontal polymerization with encapsulated initiator”, Journal of Engineering Mathematics, (2010)
  • VA VOLPERT;Y NEC;AA NEPOMNYASHCHY, “Exact solutions in front propagation problems with superdiffusion”, Physica D-Nonlinear Phenomena, (2010)
  • AA GOLOVIN, BJ MATKOWSKY, VA VOLPERT, “TURING PATTERN FORMATION IN THE BRUSSELATOR MODEL WITH SUPERDIFFUSION”, SIAM JOURNAL ON APPLIED MATHEMATICS, (2008)
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