Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Translating solutions for a class of quasilinear parabolic initial
  boundary value problems in Lorentz-Minkowski plane $\mathbb{R}^{2}_{1}$   In this paper, we investigate the evolution of spacelike curves in
Lorentz-Minkowski plane $\mathbb{R}^{2}_{1}$ along prescribed geometric flows
(including the classical curve shortening flow or mean curvature flow as a
special case), which correspond to a class of quasilinear parabolic initial
boundary value problems, and can prove that this flow exists for all time.
Moreover, we can also show that the evolving spacelike curves converge to a
spacelike straight line or a spacelike Grim Reaper curve as time tends to
infinity.

28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci