Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution concepts, well-posedness, and wave breaking for the
  Fornberg-Whitham equation   We discuss concepts and review results about the Cauchy problem for the
Fornberg-Whitham equation, which has also been called Burgers-Poisson equation
in the literature. Our focus is on a comparison of various strong and weak
solution concepts as well as on blow-up of strong solutions in the form of wave
breaking. Along the way we add aspects regarding semiboundedness at blow-up,
from semigroups of nonlinear operators to the Cauchy problem, and about
continuous traveling waves as weak solutions.

35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin