(The program of the workshop will be announced in due course.)
Title: Applications of Equivalence Transformations to Group Classification
Speaker: Sergey V. Meleshko
Abstract: The presentation is devoted to the application of equivalence transformations to the group classification of differential equations. It includes our experience in finding generalized equivalence transformations and performing preliminary group classification. As the construction of an optimal system of subalgebras is an essential part of using equivalence transformations for group classification, this topic will also be discussed. Part of the talk will focus on overdetermined systems of partial differential equations. Both partial differential equations and integro-differential equations will be considered. The presentation includes applications to the Boltzmann equation, the construction of invariant solutions for Gromeka–Beltrami flows, and the analysis of flows of chemically reacting gases in Eulerian and Lagrangian variables (for both unsteady and steady flows).