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A semi-analytic approach to Euler singularities. (English) Zbl 1100.76009

One proposes two approaches to the construction of singular solutions for the Euler equations: one via numerical simulation of complex traveling wave solutions, and another one via the construction of a perturbation of singular real solution. Numerical results illustrates the singularity behaviour of the complex traveling wave, and the paper concludes with prospects for future research.

MSC:

76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
35Q35 PDEs in connection with fluid mechanics

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