This book is the written and somewhat expanded version of the author's lectures delivered at
the NSF-CBMS international research conference organized at the Mathematics Department …

This paper reviews some recent mathematical research activity in the field of nonlinear
geophysical water waves. In particular, we survey a number of exact Gerstner-like solutions …

We present an exact solution of the nonlinear governing equations for geophysical water
waves in the β‐plane approximation near the Equator. The solution describes in the …

This paper is a survey of the short-wavelength stability method for rotating flows. Additional
complications such as stratification in the flow or the presence of non-conservative body …

An exact solution for equatorial geophysical water waves with an underlying current -
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The theory of singular perturbations in a unified formulation is used, for the first time, to study
the propagation of two-dimensional periodic perturbations, including capillary and …

This study presents some explicit exact solutions for nonlinear geophysical ocean waves in
the β-plane approximation near the equator. The solutions are provided in Lagrangian …

Instability of some equatorially trapped waves - PMC Back to Top Skip to main content NIH NLM
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The role of the Lagrangian mean flow, or drift, in modulating the geometry, kinematics and
dynamics of rotational and irrotational deep-water surface gravity waves is examined. A …

We use elliptic theory to prove the existence of steady two-dimensional periodic waterwaves
of large amplitude in a flowwith an arbitrary bounded but discontinuous vorticity. This is …