The ambient space for the system of balance laws, introduced in Chapter I, will be regarded here as space-time, and the central notion of hyperbolicity in the time direction will be motivated and defined.Weak and shock fronts introduced in Section 1.6, will be visualized as propagating sound and shock waves. Companions to the flux, considered in Section 1.5, will now be realized as entropy-entropy flux pairs.

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Hyperbolic Systems of Balance Laws

  • Constantine M. Dafermos

摘要

The ambient space for the system of balance laws, introduced in Chapter I, will be regarded here as space-time, and the central notion of hyperbolicity in the time direction will be motivated and defined.Weak and shock fronts introduced in Section 1.6, will be visualized as propagating sound and shock waves. Companions to the flux, considered in Section 1.5, will now be realized as entropy-entropy flux pairs.