Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shadow wave tracking procedure and initial data problem for pressureless
  gas model   In this paper the new procedure for a construction of an approximated
solution to initial data problem for one-dimensional pressureless gas dynamics
system is introduced. The procedure is based on solving the Riemann problems
and tracking singular wave interactions. For that system the new problem with
initial data containing Dirac delta function is solved whenever two waves
interact. Use of the shadow waves as singular solutions to such problems
enables us to easily solve the interaction problems. That permits us to make a
simple extension of the well known Wave Front Tracking algorithm. A
non-standard part of the new algorithm is dealing with delta functions as a
part of a solution. In the final part of the paper we show that the
approximated solution has a subsequence converging to a signed Radon measure.

23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org