Geodesic
Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 4, pp. 639-661

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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. 
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     author = {V. V. Kozlov},
     title = {Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of {Leonhard} {Euler)}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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V. V. Kozlov. Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 62 (2007) no. 4, pp. 639-661. http://geodesic.mathdoc.fr/item/RM_2007_62_4_a0/