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Hyperbolic Conservation Laws and the Compensated Compactness Method
ISBN-13:
9781420035575
Veröffentl:
2002
Seiten:
256
Autor:
Yunguang Lu
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
The method of compensated compactness as a technique for studying hyperbolic conservation laws holds fundamental importance in many branches of applied mathematics. Until this book appeared, however, most accounts of this method were primarily confined to research papers. Offering the first comprehensive treatment, this monograph makes the material available to a broad audience, gathering together the fundamental ideas and developments into a single work. Beginning with an account of the underlying ideas, it develops applications in a number of key areas, including strictly and nonstrictly hyperbolic systems, elasticity, continuum mechanics, and fluid mechanics.
Introduction to Compensated Compactness. The Cauchy Problem with Initial Data. Strictly Hyperbolic Systems with Linear Degeneracy. Polytropic Gas Dynamics: The Gamma Law. A One-Dimensional System of Euler Equations. The Case of Quadratic Flux. The Entropy Condition for Reduced Systems. Other Applications.
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