Professor of Mathematical Sciences
Ph.D. University of California, Berkeley
Nonlinear dynamics governed by partial differential equations, especially free boundary problems, and applications in physics and engineering; in particular, in combustion, laser and nonlinear fiber optics, and reactive fluids.
M. Frankel and V. Roytburd, Dynamics of SHS in periodic media, Nonlinear Analysis, Theory, Methods & Applications 63 (2005), pp. e1507-e1515. (Complete text in pdf format)
C.-M. Brauner, M. Frankel, J. Hulschoff, and V. Roytburd, Stability and attractors for quasi-steady evolution of cellular flames, submitted to Interfaces and Free Boundaries (May 2005). (Complete text in pdf format)
V. Roytburd, Working Analysis by Jeffery Cooper, a book review, SIAM Rev. 47 (2005) 618-621 (in pdf format).
M. Frankel and V. Roytburd, Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses, Discrete Cont. Dynamical Syst. 13 (2005) 35-62 (Complete text in pdf format)
M. Frankel and V. Roytburd, Dynamical structure of one-phase model of solid combustion, Discrete and Continuous Dynamical Systems, Suppl. (2005), pp.287-296. (Complete text in pdf format)