Introduction to Partial Differential Equations
Exercise Sheet 3
Ross Ogilvie 16th September,
2024
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Recall Burgers’ equation from Example 1.5 of the lecture script:
for . In this question we will apply the method of characteristics to solve this equation for the initial condition .
with and continuously differentiable. Show that the characteristic curves for can be described by ODEs that are independent of . (4 points)