Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the uniqueness of nondegenerate blowups for the motion by curvature
  of networks   In this note we prove uniqueness of nondegenerate compact blowups for the
motion by curvature of planar networks. The proof follows ideas introduced in
"Lojasiewicz-Simon inequalities for minimal networks: stability and
convergence" for the study of stability properties of critical points of the
length functional and it is based on the application of a Lojasiewicz-Simon
gradient inequality.

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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex