Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling of compressible electrolytes with phase transition   A novel thermodynamically consistent diffuse interface model is derived for
compressible electrolytes with phase transitions. The fluid mixtures may
consist of N constituents with the phases liquid and vapor, where both phases
may coexist. In addition, all constituents may consist of polarizable and
magnetizable matter. Our introduced thermodynamically consistent diffuse
interface model may be regarded as a generalized model of
Allen-Cahn/Navier-Stokes/Poisson type for multi-component flows with phase
transitions and electrochemical reactions. For the introduced diffuse interface
model, we investigate physically admissible sharp interface limits by matched
asymptotic techniques. We consider two scaling regimes, i.e. a non-coupled and
a coupled regime, where the coupling takes place between the smallness
parameter in the Poisson equation and the width of the interface. We recover in
the sharp interface limit a generalized Allen-Cahn/Euler/Poisson system for
mixtures with electrochemical reactions in the bulk phases equipped with
admissible interfacial conditions. The interfacial conditions satisfy, for
instance, a generalized Gibbs-Thomson law and a dynamic Young-Laplace law.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an