Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability properties of the Euler-Korteweg system with nonmonotone
  pressures   We establish a relative energy framework for the Euler-Korteweg system with
non-convex energy. This allows us to prove weak-strong uniqueness and to show
convergence to a Cahn-Hilliard system in the large friction limit. We also use
relative energy to show that solutions of Euler-Korteweg with convex energy
converge to solutions of the Euler system in the vanishing capillarity limit,
as long as the latter admits sufficiently regular strong solutions.

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The categories of this paper are: physics
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc