Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic inverse mean curvature flow   In this paper, we prove the short-time existence of hyperbolic inverse (mean)
curvature flow (with or without the specified forcing term) under the
assumption that the initial compact smooth hypersurface of $\mathbb{R}^{n+1}$
($n\geqslant2$) is mean convex and star-shaped. Several interesting examples
and some hyperbolic evolution equations for geometric quantities of the
evolving hypersurfaces have been shown. Besides, under different assumptions
for the initial velocity, we can get the expansion and the convergence results
of a hyperbolic inverse mean curvature flow in the plane $\mathbb{R}^2$, whose
evolving curves move normally.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg