2.3.13. Consider the initial value problem u (0, x) = 2 + tan (x/6) for the nonlinear trans- port equation (2.31). (a) Show that, as & - 07, the initial condition converges to a step function (2.51). What are the values of a, b? (b) Show that, moreover, the resulting solu- tion u (0, x) to the nonlinear transport equation converges to the corresponding rarefaction wave (2.54) resulting from the limiting initial condition