Nonlinear Water Waves An Interdisciplinary Interface /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Henry, David (Editor, http://id.loc.gov/vocabulary/relators/edt), Kalimeris, Konstantinos (Editor, http://id.loc.gov/vocabulary/relators/edt), Părău, Emilian I. (Editor, http://id.loc.gov/vocabulary/relators/edt), Vanden-Broeck, Jean-Marc (Editor, http://id.loc.gov/vocabulary/relators/edt), Wahlén, Erik (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Tutorials, Schools, and Workshops in the Mathematical Sciences ,
• Subjects: Partial differential equations.; Partial Differential Equations.

The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled...

Table of Contents:

• Modeling Surface Waves Over Highly Variable Topographies
• Global Diffeomorphism of the Lagrangian Flow-Map for a Pollard-Like Internal Water Wave
• The Unified Transform and the Water Wave Problem
• HOS Simulations of Nonlinear Water Waves in Complex Media
• Stokes Waves in a Constant Vorticity Flow
• Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface
• Numerical Simulations of Overturned Traveling Waves
• A Model for the Periodic Water Wave Problem and Its Long Wave Amplitude Equations
• On Recent Numerical Methods for Steady Periodic Water Waves
• Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory
• Gravity-Capillary and Flexural-Gravity Solitary Waves
• A Method for Identifying Stability Regimes Using Roots of a Reduced-Order Polynomial.