Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lipschitz metric for the Hunter-Saxton equation   We study stability of solutions of the Cauchy problem for the Hunter-Saxton
equation $u_t+uu_x=\frac14(\int_{-\infty}^xu_x^2 dx-\int_{x}^\infty u_x^2 dx)$
with initial data $u_0$. In particular, we derive a new Lipschitz metric $d_\D$
with the property that for two solutions $u$ and $v$ of the equation we have
$d_\D(u(t),v(t))\le e^{Ct} d_\D(u_0,v_0)$.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org