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  3. consider the equation uux + uy = 0 with the initia

Consider the equation uux + uy = 0 with the initial condition u(x, 0) = h(x) =...

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Advance Math

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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