Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows |
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| Authors: | Yuxi Zheng |
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| Affiliation: | (1) Department of Mathematics, University of California at Berkeley, 94720 Berkeley, CA, USA;(2) Present address: Tancheng, Shandong, People's Republic of China |
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| Abstract: | ![]()
We show that the weak-L2 limit of a sequence of solutions of the two dimensional incompressible Euler equation is still a solution, provided that a (strong) concentration set for the reduced defect measure has locally finite one dimensional Hausdorff measure in space and time. |
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