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

Yuxi Zheng

doi:10.1007/BF02104122

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

Yuxi Zheng

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English (US)
Pages (from-to)	581-594
Number of pages	14
Journal	Communications In Mathematical Physics
Volume	135
Issue number	3
DOIs	https://doi.org/10.1007/BF02104122
State	Published - Jan 1991

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF02104122

Cite this

@article{8e751c45dc564967a311b46caeff1d12,

title = "Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows",

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.",

author = "Yuxi Zheng",

year = "1991",

month = jan,

doi = "10.1007/BF02104122",

language = "English (US)",

volume = "135",

pages = "581--594",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

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

AU - Zheng, Yuxi

PY - 1991/1

Y1 - 1991/1

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 - https://www.scopus.com/pages/publications/0039997199

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

U2 - 10.1007/BF02104122

DO - 10.1007/BF02104122

M3 - Article

AN - SCOPUS:0039997199

SN - 0010-3616

VL - 135

SP - 581

EP - 594

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this