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      A 3D Euler equation solution with 2D sets of singularities and data with Hoelder continuous first order derivatives

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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.

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          Journal
          2015-11-17
          2016-03-16
          1511.05469

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          35Q31, 76N10
          10 p. revised
          math.AP

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