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Vortex stretching and anomalous dissipation for the incompressible 3D Navier-Stokes equations
- Publication Year :
- 2020
-
Abstract
- We consider the 3D incompressible Navier-Stokes equations under the following $2+\frac{1}{2}$-dimensional situation: small-scale horizontal vortex blob being stretched by large-scale, anti-parallel pairs of vertical vortex tubes. We prove anomalous dissipation induced by such vortex-stretching.<br />Comment: To appear in Math. Annal
- Subjects :
- Mathematics - Analysis of PDEs
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2001.02333
- Document Type :
- Working Paper