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

Ergots

STENT

Some Analytic Results on the FPU Paradox,sical 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.

方舟

conflate

GEN

hauteur

The Physiology of Aggression and Defeatnlinearity .. We also prove similar results for the stochastically perturbed equation, when a white in time and smooth in . random force of order . is added to the right-hand side of the equation. The approach of this work is rather general. In particular, it applies to equations in bounded domains in . under Dirichlet boundary conditions.

贫穷地活

The Physiology of Characean Cellsability of matter fields in the presence of the oscillatory inflation field. We find that the particular idealized form of the noise studied here renders the instability more effective. As a corollary, we obtain a new proof of finiteness of the localization length in the theory of Anderson localization.

jettison

Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian cluding the modulational Ansatz, canonical transformations and expansions of the Hamiltonian. In particular, the contributions from higher harmonics are examined. Both cases of finite and infinite depth are considered, and comparison with direct numerical simulations is shown.

不近人情

A Nash-Moser Approach to KAM Theory,are approximately decoupled. The construction of an approximate inverse is thus reduced to solving a quasi-periodically forced linear differential equation in the normal variables. Applications of this procedure allow to prove the existence of finite dimensional Diophantine invariant tori of autonomous PDEs.

Recessive

Time-Averaging for Weakly Nonlinear CGL Equations with Arbitrary Potentials,nlinearity .. We also prove similar results for the stochastically perturbed equation, when a white in time and smooth in . random force of order . is added to the right-hand side of the equation. The approach of this work is rather general. In particular, it applies to equations in bounded domains in . under Dirichlet boundary conditions.