Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global stability of some totally geodesic wave maps   We prove that wave maps that factor as $\mathbb{R}^{1+d}
\overset{\varphi_{\text{S}}}{\to} \mathbb{R} \overset{\varphi_{\text{I}}}{\to}
M$, subject to a sign condition, are globally nonlinear stable under small
compactly supported perturbations when $M$ is a space-form. The main innovation
is our assumption on $\varphi_{\text{S}}$, namely that it be a semi-Riemannian
submersion. This implies that the background solution has infinite total
energy, making this, to the best of our knowledge, the first stability result
for factored wave maps with infinite energy backgrounds. We prove that the
equations of motion for the perturbation decouple into a nonlinear
wave--Klein-Gordon system. We prove global existence for this system and
improve on the known regularity assumptions for equations of this type.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg