Nonlinear Dispersive Waves

David Henry is a mathematician whose research interests comprise the analysis of nonlinear partial differential equations, and free-boundary problems, with a particular interest in the mathematical theory of water waves. Aside from several visiting researcher positions abroad, David has been based in Ireland since obtaining his PhD in mathematics from Trinity College Dublin in 2008. He currently leads a research group at University College Cork.

Preface.- BOUNDARY VALUE PROBLEMS RELATED TO THE MUSKAT PROBLEM.- SOME FLOW CHARACTERISTICS OF STOKES WAVES VIA COMPLEX ANALYSIS.- RECOVERY OF TRAVELING WATER WAVES WITH SMOOTH VORTICITY FROM THE HORIZONTAL VELOCITY ON A LINE OF SYMMETRY FOR VARIOUS WAVE REGIMES.- NUMERICAL COMPUTATION OF STEADY ROTATIONAL WAVES AND RECOVERY OF THE SURFACE PROFILE FROM BOTTOM PRESSURE MEASUREMENTS.- Hamiltonian models for the propagation of long gravity waves, higher-order KdV-type equations and integrability.- An introduction to the Zakharov equation for modelling deep water waves.- Rotating convection and flows with horizontal kinetic energy backscatter.- Flexural-gravity waves under ice plates and related flows.- Nonlinear water waves and wave-current interactions at arbitrary latitude.- HOLLOW VORTICES AS NONLINEAR WAVES.- SPHERICAL COORDINATES FOR ARCTIC OCEAN FLOWS.