Titlebook: Hamiltonian Partial Differential Equations and Applications; Philippe Guyenne,David Nicholls,Catherine Sulem Book 2015 Springer Science+Bu

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Book 2015eir applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves..The volume c

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https://doi.org/10.1007/978-1-4757-1370-1ced rate. Moreover, the behavior of the low modes is governed by finite-dimensional dynamics on an appropriate center manifold, which corresponds exactly to diffusion by a fluid with viscosity proportional to 1∕..

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,Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation,roblem. Hence it is a pleasure to present this article to Walter Craig in recognition to the pioneering work he made for our community, among other things, on the relations between Hamiltonian systems and Partial Differential Equations.

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https://doi.org/10.1007/978-1-4613-1051-8sical heuristic ideas that have been used for its explanation, we concentrate on more recent rigorous results which are based on the use of (i) canonical perturbation theory and KdV equation, (ii) Toda lattice, (iii) a new approach based on the construction of functions which are adiabatic invariants with large probability in the Gibbs measure.

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