Bücher der Reihe Advances in Geophysical and Environmental Mechanics and Mathematics

Although several excellent works exist that describe the effective elastic thickness (Te) of the lithosphere-its theory, significance and relevance to Earth sciences in general-none cover the details of the methods for its estimation. This book brings together the disparate knowledge required to estimate Te in one handy volume: signal processing, harmonic analysis, civil engineering, and foundational mathematics and physics, in addition to the relevant geophysics and, to a lesser extent, geology. Its two principal focus areas are spectral estimation, covering various approaches to estimating the admittance and coherence between gravity and topography using Slepian multitapers and fan wavelets; and algebraic and finite difference solutions of the plate bending partial differential equation in a variety of geological settings. This book would be suitable for postgraduate students beginning their research, up to faculty professors interested in diversifying their skills.

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 shows how to solve GVF profiles using direct integration and Gaussian hypergeometric function. Lays groundwork for computing at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes between them.

This book presents state-of-the-art theory and the application of dynamic and transient infinite elements for simulating the far fields of infinite domains involved in many of scientific and engineering problems.

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 book develops a novel approach to model the non-fickian solute transport in saturated porous media. It presents a multiscale theory with scale independent coefficients and illustrates the outcome with available data at different scales.

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 first volume in the treatise on the Physics of Lakes deals with the formulation of the mathematical and physical background, presenting the morphology of a large number of lakes as well as the causes of their response to the driving environment.

Extensions capture thermal and seismic activations, limitations occur due to localizations and skeleton decay.Attractors in the large characterize boundary value problems from model tests via geotechnical operations up to tectonic evolutions.

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.

Based on general continuum mechanics, the different initial-boundary-value problems for the flow of ice sheets, ice shelves, ice caps and glaciers are systematically derived. Emphasis is put on developing approximation hierarchies for the different systems.

This book showcases the global energy balance of the climate system and feedback processes that determine the climate sensitivity, inital-boundary value problems, energy transport in the climate system, large-scale ocean circulation and abrupt climate change.

This monograph provides state-of-the-art theoretical results in a systematic treatment of convective and advective heat transfer during fluid flow in geological systems at the crustal scale.

This book describes modern approaches, including theoretical and numerical models, applied to explain the physical origin of anomalous waves on the sea surface. It takes into account wind flow above waves as well as variable bathymetry and currents.

In recent years, the Geomathematics Group, TU Kaiserslautern, has worked to set up a theory of spherical functions of mathematical physics. This book is a collection of all the material that group generated during the process.

This book puts the theory for a mixture of hypoplastic constituents on a rigorous basis using Muller and Liu's thermodynamic analysis. It addresses a continuum mechanical formulation of structured solid-fluid mixtures for elasto-viscous-frictional materials.

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

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

Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of 'quiescent' water bodies of the Globe.

As the topic of the book covers a wide range of scientific disciplines, the first chapter summarises basic principles of geomagnetism and related fields including a historic overview, instruments and measurements, paleomagnetic fields, basics of dynamo theory, etc.

Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of 'quiescent' water bodies of the Globe.

As the topic of the book covers a wide range of scientific disciplines, the first chapter summarises basic principles of geomagnetism and related fields including a historic overview, instruments and measurements, paleomagnetic fields, basics of dynamo theory, etc.