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A 3D Euler equation solution with 2D sets of singularities and data with Hoelder continuous first order derivatives
Preprint
2015-11-17
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Abstract
An example of a solution branch of the three dimensional Euler equation Cauchy problem is constructed which develops a singular velocity component and a singular vorticity component after finite time for some data which have Hoelder continuous first order spatial derivatives. Such a solution branch can be extended beyond a time section at some positive finite time where a two dimensional set of singularities is located.