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Herleitung (1D)

Erhaltungssatz - die Differenzialgleichung

\partial_t u + \partial_x f(u) = 0 \,, \quad t \ge 0 \,, \quad x \in R \,,
\quad u(0,x) = u_0(x) \,.

  • (t,x) - die unabhängige Variablen, Zeit und Ort
  • u=u(t,x) - erhaltene Größe
  • f=f(u) - die Flussfunktion
  • ...

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