Advertisement

Hyperbolic Systems of Balance Laws

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

Abstract

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.

Keywords

Weak Solution State Vector Shock Front Hyperbolic System Vortex Sheet 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Personalised recommendations