Titlebook: Hamiltonian Dynamical Systems and Applications; Walter Craig Conference proceedings 20081st edition Springer Science+Business Media B.V. 2

NEXUS

技术

The Physical Basis of Biochemistrymentary minimization arguments to find a variety of solutions of (.). We begin with periodic solutions of (.) and then find heteroclinic solutions making one transition between a pair of periodics. Then we construct heteroclinics and homoclinics making multiple (even infinitely many) transitions bet

自恋

宠爱

The Physical Basis of Biochemistryundary conditions. We prove results about correspondencies between the asymptotic behaviour of the spectral gaps of . and the regularity of . in the Gevrey case, among others. The proofs are based on a Fourier block decomposition due to Kappeler &Mityagin, and a novel application of the implicit fun

promote

https://doi.org/10.1007/978-1-349-81720-7 consider the problem in weighted Sobolev spaces, which comprise classical Sobolev spaces, Gevrey spaces, and analytic spaces. We show that the initial value problem is well posed in all spaces with subexponential growth of Fourier coefficients, and ‘almost well posed’ in spaces with exponential gro

DIS

Cervical-Spine

飓风

Transformation theory of Hamiltonian PDE and the problem of water waves, a small parameter, adapted to reproduce some of the well-known formal computations of fluid mechanics, and (iii) a transformation theory of Hamiltonian systems and their symplectic structures. A series of examples is given, starting with a rather complete description of the problem of water waves,

PLE

Three theorems on perturbed KdV,iscuss three theorems on the long-time behaviour of solutions of a perturbed KdV equation under periodic boundary conditions. These theorems are infinite-dimensional analogies of three classical results on small perturbations of an integrable finite dimensional system:.The three theorems raise many

狗舍

,Infinite dimensional dynamical systems and the Navier–Stokes equation,s of solutions of the two-dimensional Navier–Stokes equation. I will discuss the existence and properties of invariant manifolds for dynamical systems defined on Banach spaces and review the theory of Lyapunov functions, again concentrating on the aspects of the theory most relevant to infinite dime