Mathematics, 18.12.2019 03:31 kenishawilkinsoy4mgw
Solve ut + uux = 0 with the initial condition u(x, 0) = 1 for x ≤ 0, 1 − x 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 satisfies the entropy condition. sketch the characteristics.
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Solve ut + uux = 0 with the initial condition u(x, 0) = 1 for x ≤ 0, 1 − x for 0 ≤ x ≤ 1, and 0 for...
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