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.
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页码：88 / 106
页数：19
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