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math.AP2020★ 23 cited
Formation of unstable shocks for 2D isentropic compressible Euler
Tristan Buckmaster, Sameer Iyer
In this paper we construct unstable shocks in the context of 2D isentropic compressible Euler in azimuthal symmetry. More specifically, we construct initial data that when viewed i…
math.AP2020★ 2 cited
Shock formation and vorticity creation for 3d Euler
Tristan Buckmaster, Steve Shkoller, Vlad Vicol
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. Bui…