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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…mehr

Produktbeschreibung
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.

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Autorenporträt
Yunguang Lu is a Professor of Mathematics at the University of Columbia, Bogota and at the University of Science and Technology of China, Hefei.