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Loss of regularity for the 2D Euler equations

Authors :
Jeong, In-Jee
Publication Year :
2021

Abstract

In this note, we construct solutions to the 2D Euler equations which belong to the Yudovich class but lose $W^{1,p}$ regularity continuously with time.<br />Comment: 12 pages, 1 figure, to appear in J. Math. Fluid Mech

Subjects

Subjects :
Mathematics - Analysis of PDEs

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2108.09928
Document Type :
Working Paper