Solveut +uux =0withtheinitialconditionu(x,0)=1forx0,1x for
Chapter 14, Problem 10(choose chapter or problem)
Solveut +uux =0withtheinitialconditionu(x,0)=1forx0,1x for 0 x 1, and 0 for x 1. Solve it for all t 0, allowing for a shock wave. Find exactly where the shock is and show that it satises the entropy condition. Sketch the characteristics.
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