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Russian Mathematical Surveys, 2007, Volume 62, Issue 4, Pages 639–661
DOI: https://doi.org/10.1070/RM2007v062n04ABEH004427 (Mi rm6846) 		 
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
English version PDF (425 kB) Citations (5)
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DOI: https://doi.org/10.1070/RM2007v062n04ABEH004427
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2007, Volume 62, Issue 4(376), Pages 3–26
DOI: https://doi.org/10.4213/rm6846
Bibliographic databases:
Document Type: Article
UDC: 531.01
MSC: Primary 01A70; Secondary 35Q05, 35Q35, 40G05, 70F15, 70H20
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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    		Успехи математических наук Russian Mathematical Surveys
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