Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shock formation and vorticity creation for 3d Euler   We analyze the shock formation process for the 3d non-isentropic Euler
equations with the ideal gas law, in which sounds waves interact with entropy
waves to produce vorticity. Building on our theory for isentropic flows in
[3,4], we give a constructive proof of shock formation from smooth initial
data. Specifically, we prove that there exist smooth solutions to the
non-isentropic Euler equations which form a generic stable shock with
explicitly computable blowup time, location, and direction. This is achieved by
establishing the asymptotic stability of a generic shock profile in modulated
self-similar variables, controlling the interaction of wave families via: (i)
pointwise bounds along Lagrangian trajectories, (ii) geometric vorticity
structure, and (iii) high-order energy estimates in Sobolev spaces.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom