Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic conservation laws: weak-in-time formulation and strong
  entropy condition   This article is an attempt to complement some recent developments on
conservation laws with stochastic forcing. In a pioneering development, Feng
$&$ Nualarthave developed the entropy solution theory for such problems and the
presence of stochastic forcing necessitates introduction of {\it strong entropy
condition}. However, the authors' formulation of entropy inequalities are
weak-in-space but strong-in-time. In the absence of a-priori path continuity
for the solutions, we take a critical outlook towards this formulation and
offer an entropy formulation which is weak-in-time and weak-in-space.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat