Constructs smooth solutions to the 2D isentropic Euler equations that form cusp shocks in O(ε) time from initial data with steep negative slope and nontrivial vorticity, using Riemann variables and self-similar coordinates.
Majda, The stability of multidimensional shock fronts , Mem
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Formation of shocks for 2D isentropic compressible Euler
Constructs smooth solutions to the 2D isentropic Euler equations that form cusp shocks in O(ε) time from initial data with steep negative slope and nontrivial vorticity, using Riemann variables and self-similar coordinates.