Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shock evolution in non-radiative supernova remnants   We present a new analytical approach to derive approximate solutions
describing the shock evolution in non-radiative supernova remnants (SNRs). We
focus on the study of the forward shock and contact discontinuity while
application to the reverse shock is only discussed briefly. The spherical shock
evolution of a SNR in both the interstellar medium with a constant density
profile and a circumstellar medium with a wind density profile is investigated.
We compared our new analytical solution with numerical simulations and found
that a few percent accuracy is achieved. For the evolution of the forward
shock, we also compared our new solution to previous analytical models. In a
uniform ambient medium, the accuracy of our analytical approximation is
comparable to that in Truelove&McKee (1999). In a wind density profile medium,
our solution performs better than that in Micelotta et al. (2016), especially
when the ejecta envelope has a steep density profile. The new solution is
significantly simplified compared to previous analytical models, as it only
depends on the asymptotic behaviors of the remnant during its evolution.

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The categories of this paper are: hep-ph
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph