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asymptotically flat spacetimes 1Cauchy problem 1short-pulse method 1spacelike initial data 1trapped surfaces 1

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math.AP2026

Inevitable shock formation for 3-D compressible Euler flows

Sergiu Klainerman, Qian Wang, Shiwu Yang +1

We prove that solutions arising from smooth, sufficiently small, compactly supported perturbations of non-vacuum constant states in three-dimensional irrotational compressible flow…