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Profile
| Academic position | Full Professor |
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| Research fields | Analysis, Differential Equations,Mathematical Modelling,Theoretical Physics |
| Keywords | Dynamical systems, Mathematical physics, Nonlinear waves, Integrable systems, Partial differential equations |
Current contact address
| Country | Canada |
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| City | Hamilton |
| Institution | McMaster University |
| Institute | Department of Mathematics |
Host during sponsorship
| Prof. Dr. Guido Schneider | Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Stuttgart |
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| Prof. Dr. Michael Plum | Institut für Analysis, Karlsruher Institut für Technologie (KIT), Karlsruhe |
| Start of initial sponsorship | 01/09/2006 |
Programme(s)
| 2006 | Humboldt Research Fellowship Programme |
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| 2020 | Humboldt Research Award Programme |
Nominator's project description
| Professor Pelinovsky is one of the world leading experts in analysis of nonlinear wave propagation, which is a classical area of applied mathematics. He has made outstanding contributions to the theory of stability of periodic and solitary waves and dynamics of integrable systems. He combines physical intuition, numerical explorations and a large variety of rigorous mathematical methods. During his stay in Germany, he intends to study the instability of peaked periodic waves in a large class of nonlinear partial differential equations as well as to complete the characterization of the Morse index for trapped states on unbounded metric graphs. |
Publications (partial selection)
| 2023 | D.E. Pelinovsky and B. de Rijk: Extinction of multiple shocks in the modular Burgers equation. In: Nonlinear Dynamics 111, 2023, 3679-3687 |
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| 2023 | D.E. Pelinovsky and G. Schneider: KP-II approximation for a scalar FPU system on a 2D square lattice. In: SIAM J. Appl. Math., 83, 2023, 79-98 |
| 2010 | Dmitry Pelinovsky and Guido Schneider: Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential. In: Journal of Differential Equations, 2010, 837-849 |
| 2009 | Tomas Dohnal, Dmitry Pelinovsky, and Guido Schneider: Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential. In: Journal of Nonlinear Science, 2009, 95-131 |
| 2008 | Dmitry Pelinovsky: Asymptotic reductions of the Gross-Pitaevskii equation. In: P.G. Kevrekidis, D.J. Franzeskakis, R. Carretero-Gonzalez,, Emergent Nonlinear Phenomena in Bose-Einstein Condensates. Springer-Verlag, 2008. 377-398 |
| 2008 | Dmitry Pelinovsky, Guido Schneider, and Robert MacKay Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential. In: Communications in Mathematical Physics, 2008, 803-831 |
| 2008 | Dmitry Pelinovsky and Guido Schneider: Moving gap solitons in periodic potentials, . In: Mathematical Methods in the Applied Sciences , 2008, 1739-1760 |
| 2008 | Tomas Dohnal and Dmitry Pelinovsky: Surface gap solitons at a nonlinearity interface. In: SIAM Journal of Applied Dynamical Systems , 2008, 249-264 |
| 2007 | Dmitry Pelinovsky Guido Schneider: Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential. In: Applicable Analysis, 2007, 1017-1036 |