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math.AP2014★ 34 cited
On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations
Kyudong Choi, Thomas Y. Hou, Alexander Kiselev +3
In connection with the recent proposal for possible singularity formation at the boundary for solutions of 3d axi-symmetric incompressible Euler's equations (Luo and Hou, 2013), we…
math.AP2014
Blow up for the 2D Euler Equation on Some Bounded Domains
Alexander Kiselev, Andrej Zlatos
We find a smooth solution of the 2D Euler equation on a bounded domain which exists and is unique in a natural class locally in time, but blows up in finite time in the sense of it…