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This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models. Which model provides the…
Our goal in this volume is to apply a normal forms method to estimate the Sobolev norms of the solutions of the water waves equation. We construct a paradifferential change of unknown, without derivatives losses, which eliminates the part of the quadratic terms that bring non ze…
"Modeling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modeling can be viewed as an extension of wave theory applied to practical engineering thr…
"Modeling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. - Wave modeling can be viewed as an extension of wave theory applied to practical engineering t…
Various types of wave models are presented in this book along with the theoretical assumptions, application range, and advantages and limitations of each model.