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19982024
most citedNo Regularity Singularities Exist at Points of General Relativistic Shock Wave Interaction between Shocks from Different Characteristic Families

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math.AP2024

Time-periodic solutions of the compressible Euler equations and the Nonlinear Theory of Sound

Blake Temple, Robin Young

We prove the existence of ``pure tone'' nonlinear sound waves of all frequencies. These are smooth, time periodic, oscillatory solutions of the compressible Euler equati…