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Continuum mechanics and applications in geophysics and the environment. Dedicated to Prof. Kolumban Hutter on the occasion of his 60th birthday. (English) Zbl 0972.76006

Berlin: Springer. xiv, 393 p. (2001).
This volume presents a collection of papers dedicated to Professor Kolumban Hutter on the occasion of his 60th anniversary. It contains 19 works written by 26 contributors, in the fields of applied continuum mechanics, soil mechanics, porous media, ice dynamics, climatology and lake physics.
In the first part, dealing with applied continuum mechanics, one investigates shock waves in radiating gas, anisotropic fluids, thermodynamics of integration and segregation in populations, asymptotic properties of nonlinear diffusion models, a modified theory concerning binary mixtures of Eulerian fluids, and the continuously distributed control of plates by PZT actuators.
The second part discusses the problems of soil mechanics and porous media. One emphasizes the hydraulic theory for a frictional flow on collisional shear layer, the Beavers-Joseph condition for velocity slip at the surface of porous medium, and the Chebyshev tau method applied to spurious eigenvalues in porous convection and to the mechanics of multiphase porous media which describes unsaturated soils.
The most extended third part of the volume describes the glacier behaviour and ice dynamics. One shows how to model the iceberg drift, the flow of glaciers and ice sheets, how to apply the computational methods in glaciology, and how to perform the constitutive modelling of anisotropic polar ice and to take into account the influence of bed topography on steady plane ice sheet flows. The last chapter is devoted to climatology and lake physics. One studies here some models regarding the response of Earth to varying ice loads, the role of Arctic Sea ice in climate variability, the role of simple models in the description of climate changes, and different numerical treatments of advection terms for the calculation of wind-induced circulations in Lake Constance.

MSC:

76-06 Proceedings, conferences, collections, etc. pertaining to fluid mechanics
74-06 Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids
00B25 Proceedings of conferences of miscellaneous specific interest
86-06 Proceedings, conferences, collections, etc. pertaining to geophysics

Biographic References:

Hutter, Kolumban
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