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Vortex stretching and anomalous dissipation for the incompressible 3D Navier-Stokes equations
- Publication Year :
- 2020
- Publisher :
- arXiv, 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
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....99a82ef7104a44f2de73a8e1e177a5d0
- Full Text :
- https://doi.org/10.48550/arxiv.2001.02333