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Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations

This memoir is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid;

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Almost Global Solutions of Capillary Gravity Water Waves Equations on the Circle

The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one;

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Dispersive Equations and Nonlinear Waves

methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity;

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Dispersive And Strichartz Estimates For Hyperbolic Equations With Constant Coefficients

In this work dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant;

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Linear and Quasi-linear Evolution Equations in Hilbert Spaces

elementary methods, such as that of energy estimates, which prove to be quite versatile. The authors emphasize the Cauchy problem and present a;

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3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surfaces

the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves;

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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems. The book presents three inverse;

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Nonlinear Wave Equations

solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer;

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Physics of Lakes: Volume 2

rotating shallow-water waves, demonstrating their classification into gravity and Rossby waves for homogeneous and stratified water bodies. This;

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Geometrical Optics and Related Topics

highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions;

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Nonlinear Waves

generalized Cauchy problem for the Hunter-Saxton equation. The Riemann problem for special systems of conservation laws and the corresponding d-shocks;

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Defocusing Nonlinear Schroedinger Equations

analysis, functional analysis, and topology. This includes a new proof of Keel-Tao endpoint Strichartz estimates, and a new proof of Bourgain's;

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Abstract Cauchy Problems

in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations;

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Abstract Cauchy Problems

in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations;

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Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations

time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis;

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Internal Gravity Waves

book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics;

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Internal Gravity Waves

book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics;

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Mathematical Theory Of Permanent Progressive Water-waves, The

inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers;

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&

gravitational waves in the various coastal formations. For researchers and specialists in the field of wave hydrodynamics simulations.;

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Stochastic Cauchy Problems in Infinite Dimensions

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for;

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Small Divisor Problem in the Theory of Three-dimensional Water Gravity Waves

The authors consider doubly-periodic travelling waves at the surface of an infinitely deep perfect fluid, only subjected to gravity g and;

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Fluid Waves

Explains the basis of wave mechanics in fluid systems. Provides tools for the analysis of water waves, sound waves, internal gravity;

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Ocean Waves and Oscillating Systems

of oscillations, gravity waves on water, the dynamics of wave-body interactions, and the absorption of wave energy by oscillating bodies. Linear algebra;

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Harmonic Analysis Method For Nonlinear Evolution Equations, I

problem for those equations is systematically studied by using the harmonic analysis methods.This book is self-contained and may also be used as;

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Modern Methods in Partial Differential Equations

, the text features problems that consider existence, uniqueness, estimates, and regularity of solutions. Topics include existence of solutions;

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Lectures on the Theory of Water Waves

In the summer of 2014 leading experts in the theory of water waves gathered at the Newton Institute for Mathematical Sciences in Cambridge;

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Geophysical Fluid Dynamics II

3. thermodynamic and kinetic energy equations 4. equations of state for the atmosphere and the ocean, salt, and moisture effects;

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