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

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A Nash-Moser Approach to KAM Theory,s us to construct a set of symplectic coordinates in a neighborhood of the torus in which the Hamiltonian is in a generalized KAM normal form with angle-dependent coefficients. Based on this observation we develop an approach to KAM theory via a Nash-Moser implicit function iterative theorem. The ke
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On the Spectral and Orbital Stability of Spatially Periodic Stationary Solutions of Generalized Kor cases for which the skew-symmetric operator . is singular. We assume that . restricted to the orthogonal complement of its kernel has a bounded inverse. With this assumption and some further genericity conditions we (a) derive an unstable eigenvalue count for the appropriate linearized operator, an
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Partial Differential Equations with Random Noise in Inflationary Cosmology,rrent paradigm for describing the very early universe, where one is often interested only in the time-dependence of a subsystem. In inflationary cosmology it is assumed that a slowly rolling scalar field leads to an exponential increase in the size of space. At the end of this phase, the scalar fiel
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The Physics of the Manhattan Projectical domain .. with boundary .. both of which vary in time. Global-in-time weak solutions are obtained using an approach based on penalization of the boundary behavior and viscosity in the weak formulation.
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The Physics of the Manhattan Projectexperiments, and (2) have the mathematical properties required to be of use in weakly nonlinear models of the evolution of waves with narrow-banded spectra, as they propagate over long distances on deep water.
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On a Fluid-Particle Interaction Model: Global in Time Weak Solutions Within a Moving Domain in ,,ical domain .. with boundary .. both of which vary in time. Global-in-time weak solutions are obtained using an approach based on penalization of the boundary behavior and viscosity in the weak formulation.
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