### Abstract

We show that the weak-L^{2} 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.

Original language | English (US) |
---|---|

Pages (from-to) | 581-594 |

Number of pages | 14 |

Journal | Communications In Mathematical Physics |

Volume | 135 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1991 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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**Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows.** / Zheng, Yuxi.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows

AU - Zheng, Yuxi

PY - 1991/1/1

Y1 - 1991/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039997199&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039997199&partnerID=8YFLogxK

U2 - 10.1007/BF02104122

DO - 10.1007/BF02104122

M3 - Article

AN - SCOPUS:0039997199

VL - 135

SP - 581

EP - 594

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -