Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Angular Density Perturbations to Filled Type I Strong Explosions   In this paper we extend the Sedov - Taylor - Von Neumann model for a strong
explosion to account for small angular and radial variations in the density. We
assume that the density profile is given by
$\rho\left(r,\theta,\phi\right)=kr^{-\omega}\left(1+\varepsilon\left(\frac{r}{r_{0}}\right)^{q}Y_{lm}\left(\theta,\phi\right)\right)$,
where $\varepsilon\ll1$ and $\omega\le\frac{7-\gamma}{\gamma+1}$. In order to
verify our results we compare them to analytical approximations and full
hydrodynamic simulations. We demonstrate how this method can be used to
describe arbitrary (not just self similar) angular perturbations. This work
complements our previous analysis on radial, spherically symmetric
perturbations, and allows one to calculate the response of an explosion to
arbitrary perturbations in the upstream density. Together, they settle an age
old controversy about the inner boundary conditions

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The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph