The Augmented Spherical Wave Method / A Comprehensive Treatment, Eyert Volker
Автор: Willi Freeden; Michael Schreiner Название: Spherical Functions of Mathematical Geosciences ISBN: 3540851119 ISBN-13(EAN): 9783540851110 Издательство: Springer Рейтинг: Цена: 24466 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Collects the material developed by the Geomathematics Group, TU Kaiserslautern, to set up a theory of spherical functions of mathematical (geo-)physics. This work provides the palette of spherical (trial) functions for modeling and simulating phenomena and processes of the Earth system.
Описание: This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics.
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