Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear stability of the totally geodesic wave maps in anisotropic
  manifolds   In this article we investigate a type of totally geodesic map which has its
image being a geodesic in an anisotropic Riemannian manifold. We consider its
nonlinear stability among the family of wave maps. We first establish the
factorization property and then formulate the stability problem into a PDE
system in a specially constructed chart of geodesic normal coordinates. With a
generalization of the hyperboloidal foliation, we establish the global
existence result associate to small initial data for this PDE system, which
leads to the geometric stability.

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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas