间歇凸积分的Baire范畴法

Pub Date : 2023-10-31 DOI:10.1007/s10474-023-01380-0
G. Sattig, L. Székelyhidi
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引用次数: 0

摘要

在一个baircategory参数中,我们使用了[22]的凸积分构造,证明了具有Sobolev正则性的不可压缩矢量场内输运方程的弱解在Baire范畴意义上是一般的。利用[7]的构造,证明了三维Navier-Stokes方程的一个类比命题。
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The Baire category method for intermittent convex integration

We use a convex integration construction from [22] in a Baire category argument to show that weak solutions to the transport equation with incompressible vector fields with Sobolev regularity are generic in the Baire category sense. Using the construction of [7] we prove an analog statement for the 3D Navier–Stokes equations.

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