The authors construct smooth characteristic initial data on any admissible cone for the 3D compressible Euler equations, resolving the open characteristic initial data problem.
The relativistic euler equations: Esi notes on their geo-analytic structures and implications for shocks in 1d and multi-dimensions
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Constructing characteristic initial data for three dimensional compressible Euler equations
The authors construct smooth characteristic initial data on any admissible cone for the 3D compressible Euler equations, resolving the open characteristic initial data problem.