Hamiltonian dynamical systems and applications
Hamiltonian dynamical systems and applications
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哈密顿动力系统及其应用
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
W. Craig
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文献类型：
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作者：
W. Craig
序言。-哈密顿动力系统及其应用。克雷格。-高维哈密顿动力学的若干问题关于N体问题的四讲。陈西纳平均法与绝热不变量内什塔特哈密尔顿偏微分方程的变换理论与水波问题。克雷格。-关于扰动KdV S. B的三个定理Kuksin。欧拉流体力学和KdV B中的群和拓扑。凯辛无穷维动力系统与Navier-Stokes方程。韦恩Hamilton系统与最优控制A.阿格拉切夫KAM理论及其在Hamilton偏微分方程中的应用。元。非线性薛定谔方程的KAM四讲。Eliasson，S.B. Kuksin。一类半线性偏微分方程的Birkhoff范式定理D.竹。全纯动力系统的规范形。斯托洛维奇哈密顿系统不稳定性问题的几何方法。非正式介绍A. Delshams等人- Arnold扩散问题的变分方法Q.郑变分法与强迫摆。拉比诺维茨哈密顿偏微分方程的变分方法M.伯蒂加权Sobolev空间中位势的谱隙周期KdV方程在高正则类T中的适定性。Kappeler，J. Poeschel.
Preface.- Hamiltonian Dynamical Systems and Applications W. Craig.- Some Aspects of Finite-Dimensional Hamiltonian Dynamics D.V. Treschev.- Four Lectures on the N-body Problem A. Chenciner.- Average Method and Adiabatic Invariants A. Neishtadt.- Transformation Theory of Hamiltonian PDE and the Problem of Water Waves W. Craig.- Three Theorems on Perturbed KdV S.B. Kuksin.- Groups and Topology in the Euler Hydrodynamics and KdV B. Khesin.- Infinite Dimensional Dynamical Systems and the Navier-Stokes Equation C.E. Wayne.- Hamiltonian Systems and Optimal Control A. Agrachev.- KAM Theory with Applications to Hamiltonian Partial Differential Equations X. Yuan.- Four Lectures on KAM for the Non-Linear Schroedinger Equation L.H. Eliasson, S.B. Kuksin.- A Birkhoff Normal Form Theorem for some Semilinear PDEs D. Bambusi.- Normal Forms for Holomorphic Dynamical Systems L. Stolovitch.- Geometric Approaches to the Problem of Instability in Hamiltonian Systems. An Informal Presentation A. Delshams et al.- Variational Methods for the Problem of Arnold Diffusion C.-Q. Cheng.- The Calculus of Variations and the Forced Pendulum P.H. Rabinowitz.- Variational Methods for Hamiltonian PDEs M. Berti.- Spectral Gaps of Potentials in Weighted Sobolev Spaces J. Poeschel.- On the Well-Posedness of the Periodic KdV Equation in High Regularity Classes T. Kappeler, J. Poeschel.