The Hamiltonian viewpoint of fluid mechanical systems with few and infinite number of
degrees of freedom is described. Rudimentary concepts of finite-degree-of-freedom …

This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

The atmosphere and ocean are two of the most important components of the climate system,
and fluid dynamics is central to our understanding of both. This book provides a unified and …

This paper reviews the relatively recent application of the methods of Hamiltonian
mechanics to problems in fluid dynamics. By Hamiltonian mechanics I mean all of what is …

Interactions between waves and mean flows play a crucial role in understanding the long-
term aspects of atmospheric and oceanographic modelling. Indeed, our ability to predict …

Projecting climate change is a generalization problem: We extrapolate the recent past using
physical models across past, present, and future climates. Current climate models require …

The climate is a forced and dissipative nonlinear system featuring nontrivial dynamics on a
vast range of spatial and temporal scales. The understanding of the climate's structural and …

Understanding inhomogeneous and anisotropic fluid flows requires mathematical and
computational tools that are tailored to such flows and distinct from methods used to …

The paper provides an introduction and survey of conservative discretization methods for
Hamiltonian partial differential equations. The emphasis is on variational, symplectic and …

An overview is given of current issues concerning the coupling between the stratosphere
and troposphere. The tropopause region, more generally the upper troposphere/lower …