Lipschitz metric for the Hunter-Saxton equation

Alberto Bressan, Helge Holden, Xavier Raynaud

We study stability of solutions of the Cauchy problem for the Hunter-Saxton equation $u_t+u{u}_x=\frac{1}{4}({\int }_{-\infty }^x{u}_x^{2}dx-{\int }_x^{\infty }{u}_x^{2}dx)$ with initial data $u_0$.…