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Abstract

Following the lines of Chapter 11, we can apply the results of Section 5.1 to study mechanical systems on the configuration spaces \(\mathcal{D}^{s}(M)\) , H s (M,M), or H s (M,N) with kinetic energy given by the (weak) Riemannian metric. Here we analyze those systems which are naturally related to certain problems of hydrodynamics. Note that according to the Lagrangian formalism, a trajectory of such a system gives the flow of a fluid.

Keywords

External Force Euler Equation Burger Equation Integral Manifold Regularity Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Mathematics DepartmentVoronezh State UniversityVoronezhRussia

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