Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global persistence of geometrical structures for the boussinesq equation
  with no diffusion   Here we investigate the so-called temperature patch problem for the
incompressible Boussinesq system with partial viscosity, in the whole space
$\mathbb{R}^N$ $(N \geq 2)$, where the initial temperature is the
characteristic function of some simply connected domain with $C^{1,
\varepsilon}$ H{\"o}lder regularity. Although recent results in [1, 15] ensure
that an initially $C^1$ patch persists through the evolution, whether higher
regularity is preserved has remained an open question. In the present paper, we
give a positive answer to that issue globally in time, in the 2-D case for
large initial data and in the higher dimension case for small initial data.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex