The Baire category method for intermittent convex integration

被引：1

作者：

Sattig, G. ^{[1
]}

Szekelyhidi, L. ^{[1
]}

机构：

[1] Univ Leipzig, Math Inst, D-04109 Leipzig, Germany

来源：

ACTA MATHEMATICA HUNGARICA | 2023年 / 171卷 / 1期

关键词：

convex integration; intermittency; Baire category method; EQUATIONS;

D O I：

10.1007/s10474-023-01380-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use a convex integration construction from [22] in a Bairecategory argument to show that weak solutions to the transport equation withincompressible vector fields with Sobolev regularity are generic in the Baire categorysense. Using the construction of [7] we prove an analog statement for the3D Navier-Stokes equations.

引用

页码：88 / 106

页数：19

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