Traveling water waves — the ebb and flow of two centuries
Susanna V. Haziot, Vera Mikyoung Hur, Walter A. Strauss, John Toland, Erik Wahlén, Samuel Walsh, Miles H. Wheeler
Abstract
This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characterizations of traveling water waves; analytical and numerical studies of periodic waves with critical layers that may overhang; existence, nonexistence, and qualitative theory of solitary waves and fronts; traveling waves with localized vorticity or density stratification; and waves in three dimensions.
Topics & Concepts
Stratification (seeds)Traveling waveVorticityMechanicsRogue wavePhysicsClassical mechanicsMeteorologyMathematicsMathematical analysisGeologyVortexNonlinear systemDormancyQuantum mechanicsSeed dormancyBotanyBiologyGerminationAdvanced Mathematical Physics ProblemsOcean Waves and Remote SensingNonlinear Waves and Solitons