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This article is cited in 5 scientific papers (total in 5 papers)
Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)
V. V. Kozlov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
This article concerns the life of Leonhard Euler and his achievements in theoretical mechanics. A number of topics are discussed related to the development of Euler's ideas and methods: divergent series and asymptotics of solutions of non-linear differential equations; the hydrodynamics of a perfect fluid and Hamiltonian systems; vortex theory for systems on Lie groups with left-invariant kinetic energy; energy criteria of stability; Euler's problem of two gravitating centres in curved spaces.
Received: 25.03.2007
Citation:
V. V. Kozlov, “Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)”, Uspekhi Mat. Nauk, 62:4(376) (2007), 3–26; Russian Math. Surveys, 62:4 (2007), 639–661
Linking options:
https://www.mathnet.ru/eng/rm6846https://doi.org/10.1070/RM2007v062n04ABEH004427 https://www.mathnet.ru/eng/rm/v62/i4/p3
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Abstract page: | 1171 | Russian version PDF: | 728 | English version PDF: | 32 | References: | 108 | First page: | 16 |
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