Hyperbolic Systems of Balance Laws
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.
KeywordsWeak Solution State Vector Shock Front Hyperbolic System Vortex Sheet
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