Books in the Advances in Geophysical and Environmental Mechanics and Mathematics series

This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods.

This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory.

This unitary resource sets out the derivation of conservation, thermodynamic, and evolution equations used in modeling multiphase porous media systems. It includes detailed, multiscale applications and a forward-looking discussion of open research issues.

Simple, yet precise solutions to special flows are also constructed, namely Blasius boundary layer flows, matched asymptotics of the Navier-Stokes equations, global laws of steady and unsteady boundary layer flows and laminar and turbulent pipe flows.

3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level.

This book lays a foundation for formulating depth-averaged equations describing shallow geophysical mass flows - landslides, avalanches or debris flows. Offering detailed derivation of model equations, its stimulating examples show how the models are applied.

This book describes methods of investigation for processes taking place in real lakes, as components of the geophysical environment. Covers numerical modeling, observation and experimental procedures, and the dynamics of lake water as a particle-laden fluid.

This volume examines lakes as oscillators. It covers barotropic and baroclinic waves in homogeneous and stratified lakes on the rotating Earth, presents a classification of rotating shallow-water waves and describes Kelvin-type and Poincare-type waves.

This book develops and describes state of the art methodologies covering all aspects of full waveform tomography. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data.

This third volume describes continuous bodies treated as classical (Boltzmann) and spin (Cosserat) continua or fluid mixtures of such bodies.