Hyperbolic Systems of Balance Laws

  • Constantine M. DafermosEmail author
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 325)


The ambient space for the system of balance laws, introduced in Chapter I, will be visualized here as space-time, and the central notion of hyperbolicity in the time direction will be motivated and defined. Companions to the flux, considered in Section 1.5, will now be realized as entropy-entropy flux pairs. Numerous examples will be presented of hyperbolic systems of balance laws arising in continuum physics.


Weak Solution State Vector Shock Front Hyperbolic System Vortex Sheet 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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