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Titlebook: Global Analysis in Mathematical Physics; Geometric and Stocha Yuri Gliklikh Book 1997 Springer Science+Business Media New York 1997 Christo

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Lagrangian Formalism of Hydrodynamics of an Ideal Incompressible Fluidtter with a holonomic constraint in the sense of Sect. 5. (To compare, we recall that an LHS of an ideal barotropic fluid considered in Sect. 24.B is an LHS of diffuse matter with an external force.) In Sect. 25 we define LHSs of an ideal incompressible fluid and study some of their general properti
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Hydrodynamics of a Viscous Incompressible Fluid and Stochastic Differential Geometry of Groups of Die fluid were introduced in [39] as generalizations of those of an ideal incompressible fluid. Namely, these LHSs were defined as systems on the group of volume-preserving diffeomorphisms with an additional right-invariant force field which depends on the velocity of the fluid. In the tangent space a
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Executive Search and the European Scene,he geometric properties of stochastic equations, focusing mainly on integrals with respect to Wiener processes, for they play a central role in the theory. A more complete and detailed exposition may be found in various textbooks and monographs. (See, e.g., [50], [54], [55], [95], [97], [100], [101]
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