Proceedings of the International Conference "Modern Achievements in Symmetries of Differential Equations" (Symmetry 2022). A Hybrid Conference. December 13-16, 2022. Suranaree University of Technology, Nakhon Ratchasima, Thailand
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On December 13-16, 2022, the School of Mathematics at the Institute of Science of Suranaree University of Technology in Nakhon Ratchasima, Thailand, hosted the International Conference "Modern Achievements in Symmetries of Differential Equations" (Symmetry 2022). This conference was a collaborative effort between the School of Mathematics at Suranaree University of Technology (Thailand), the Keldysh Institute of Applied Mathematics (Russia), the Department of Mathematical Sciences at the University of Stellenbosch (South Africa), and the Moscow Center for Fundamental and Applied Mathematics (Russia). The conference was included in the list of events of the Russian Federation dedicated to the Russia-ASEAN Year and received approval from the Government of the Russian Federation. Symmetry 2022 marked the third international conference jointly organized by Suranaree University of Technology
(Thailand), Russian Institutes, and South African Universities. The first conference took place with the Institute of Hydrodynamics (Novosibirsk) in 2019, and the second conference with the Institute of Theoretical and Applied Mechanics (Novosibirsk) in 2021.
The primary objective of these conferences was to focus on the latest advancements in the applications of Lie groups, encompassing a wide range of topics in interdisciplinary studies within theoretical and applied sciences. We aimed to bring together researchers who apply Lie groups to address a variety of problems. The "Modern Achievements in Symmetries of Differential Equations and Applications" conference was a resounding success.
The main topics of the conference revolved around Symmetry Methods and their Applications. The conference was conducted in a virtual format, enabling the participation of a diverse audience, including experts in the subject area, young scientists, and graduate students interested in the analysis of nonlinear equations and group theoretical methods. In total, there were 66 registered participants from 21 countries, representing all inhabited continents of the world. Talks were scheduled from late morning until night local time, accommodating the differences in time zones. While
most presentations focused on the analysis of wave motion in continuum mechanics, numerous other topics were also addressed, such as the stability of fluid flows, qualitative analysis and integrability of partial differential equations, methods for constructing exact solutions to continuum mechanics problems, symmetries and conservation laws of differential equations with nonlocal terms, the method of differential constraints, numerical analysis, construction of numerical schemes, and applications of mathematics in medicine.
These Proceedings contain eight papers from among the 55 conference presentations.