Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence theory for well-balanced Euler model   We study the initial value problem for a kind of Euler equation with a source
term. Our main result is the existence of a globally-in-time weak solution
whose total variation is bounded on the the domain of definition, allowing the
existence of shock waves. Our proof relies on a well-balanced random choice
method called Glimm method which preserves the fluid equilibria and we
construct a sequence of approximate weak solutions which converges to the exact
weak solution of the initial value problem, based on the construction of exact
solutions of the generalized Riemann problem associated with initially
piecewise steady state solutions.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph