Abstract

The present volume of the Journal of Physics: Conference Series represents contributions from participants of the IX International conference «Lavrentyev readings on mathematics, mechanics, and physics» dedicated to the 120th anniversary of birth of Academician Mikhail Alekseevich Lavrentyev. The Conference was held at Novosibirsk Akademgorodok, Russia, on September 07–11, 2020, and organized by Lavrentyev Institute of Hydrodynamics and Novosibirsk State University.The Conference is traditional and attracts attention of mathematicians and physicists. Scientific activities of the Conference include discussion of a wide range of problems: mathematical problems of continuum mechanics, physics and mechanics of high-energy processes, fluid mechanics and mechanics of solids. The program of conference included 12 plenary presentations (40 minutes) and 186 oral presentations (20 minutes) given by more than 170 participants from 38 cities of Russia (Moscow, Saint-Petersburg, Novosibirsk, Vladivostok, Tomsk, Yakutsk, Perm, Novokuznetsk, Biysk, Barnaul, Krasnoyarsk, etc.). A significant part of talks (about 30 %) were presented by young researchers and postgraduate students.We would like to thank the Speakers for their significant contributions to the conference. We also would like to thank the members of the Organizing Committee. We cannot end without expressing our many thanks to our sponsors (Russian Foundation for Basic Research (grant number 20-01-22014), Novosibirsk State University, Mathematical Center in Akademgorodok (the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1675) for their financial support.Novosibirsk, September 2020 Evgeny Ermanyuk Evgeny Rudoy Eduard Pruuel

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