Every sufficiently small smooth compact perturbation of a constant state in 3D irrotational compressible Euler blows up in finite time, with the expected lifespan.
and Miao, S.Compressible Flow and Euler’s Equations, (monograph, 602 pp.) Surveys in Modern Mathematics Volume 9, International Press (ISBN 9781571462978)
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Inevitable shock formation for 3-D compressible Euler flows
Every sufficiently small smooth compact perturbation of a constant state in 3D irrotational compressible Euler blows up in finite time, with the expected lifespan.