Formation of Point Shocks for 3D Compressible Euler

• Published in: Communications on pure and applied mathematics Vol. 76; no. 9; pp. 2073 - 2191
• Main Authors: Buckmaster, Tristan, Shkoller, Steve, Vicol, Vlad
• Format: Journal Article
• Language: English
• Published: Melbourne John Wiley & Sons Australia, Ltd 01.09.2023; John Wiley and Sons, Limited
• Subjects: Compressibility; Euler-Lagrange equation; Ideal gas; Perturbation; Vorticity

We consider the 3D isentropic compressible Euler equations with the ideal gas law. We provide a constructive proof of the formation of the first point shock from smooth initial datum of finite energy, with no vacuum regions, with nontrivial vorticity present at the shock, and under no symmetry assum...