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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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