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Hamiltonian Partial Differential Equations and Applications

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Cover of 'Hamiltonian Partial Differential Equations and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Hamiltonian Structure, Fluid Representation and Stability for the Vlasov–Dirac–Benney Equation
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    Chapter 2 Analysis of Enhanced Diffusion in Taylor Dispersion via a Model Problem
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    Chapter 3 Normal Form Transformations for Capillary-Gravity Water Waves
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    Chapter 4 On a Fluid-Particle Interaction Model: Global in Time Weak Solutions Within a Moving Domain in ℝ 3 $$\mathbb{R}^{3}$$
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    Chapter 5 Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian Approach
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    Chapter 6 Dissipation of Narrow-Banded Surface Water Waves
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    Chapter 7 The Kelvin-Helmholtz Instabilities in Two-Fluids Shallow Water Models
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    Chapter 8 Some Analytic Results on the FPU Paradox
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    Chapter 9 A Nash-Moser Approach to KAM Theory
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    Chapter 10 On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Korteweg-de Vries Equations
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    Chapter 11 Time-Averaging for Weakly Nonlinear CGL Equations with Arbitrary Potentials
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    Chapter 12 Partial Differential Equations with Random Noise in Inflationary Cosmology
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    Chapter 13 Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations
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    Chapter 14 IST Versus PDE: A Comparative Study
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    Chapter 15 Erratum to: IST Versus PDE: A Comparative Study
Attention for Chapter 3: Normal Form Transformations for Capillary-Gravity Water Waves
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Citations

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Chapter title
Normal Form Transformations for Capillary-Gravity Water Waves
Chapter number 3
Book title
Hamiltonian Partial Differential Equations and Applications
Published by
Springer, New York, NY, January 2015
DOI 10.1007/978-1-4939-2950-4_3
Book ISBNs
978-1-4939-2949-8, 978-1-4939-2950-4
Authors

Walter Craig, Catherine Sulem