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arXiv:1209.6250 [math.AP]AbstractReferencesReviewsResources

On a class of singular solutions to the incompressible 3-D Euler equation

Joerg Kampen

Published 2012-09-27, updated 2012-10-02Version 2

A class of singular 3D-velocity vector fields is constructed which satisfy the incompressible 3D-Euler equation. It is shown that such a solution scheme does not exist in dimension 2. The solutions constructed are bounded and smooth up to finite time where they become singular. Although the solution is smooth and bounded there seems to be no bound in L2 of the velocity field.

Comments: 28 p., correction: solutions constructed in v1 are smooth bounded but no bound of finite energy is found
Categories: math.AP
Subjects: 35Q31, 76N10
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