MA 3065 Final: hw11

• School: Minneapolis College of Art and Design
• Department: Filmmaking-Sound
• Course: MA 3065
• Professor: p

Document Summary

Math 5588 homework 11 (due thursday april 20: a weak solution of burger"s equation has the form ut + uux = 0 for x r, t > 0 u(x, t) =( x t+1 , 0, for x < s(t) for x > s(t), where s(t) is a shock curve starting at s(0) = 1. [hint: depending on whether ul < ur or ul > ur you will have either a rarefaction wave or a shock wave. Give the solution in both cases. : recall the legendre transform of a function h(p) is given by. Find the legendre transform of h(p) = 1. 2 p2 and show directly that h = h. [here: show that the legendre transform of the function h(p) = 1 r |p|r for 1 < r < is.