Consider the equation uux + uy = 0 with the initialcondition
u(x, 0) = h(x) = ? 0 for x > 0
uo for x < 0, withuo< 0.
Show that there is a second weak solution with a shock along theline x = uo y / 2
The solution in both mathematical and graphical presentationbefore and after the shock.
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