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Vortex stretching and enhanced dissipation for the incompressible 3D Navier–Stokes equations
- Source :
- Mathematische Annalen. 380:2041-2072
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 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 enhanced dissipation induced by such vortex-stretching.
- Subjects :
- Vortex tube
General Mathematics
010102 general mathematics
Mathematics::Analysis of PDEs
Mechanics
Dissipation
01 natural sciences
Vortex
Physics::Fluid Dynamics
Condensed Matter::Superconductivity
Vortex stretching
0103 physical sciences
Compressibility
010307 mathematical physics
0101 mathematics
Navier–Stokes equations
Mathematics
Subjects
Details
- ISSN :
- 14321807 and 00255831
- Volume :
- 380
- Database :
- OpenAIRE
- Journal :
- Mathematische Annalen
- Accession number :
- edsair.doi...........b3b860d1f98425a77b89f2b530ed102a
- Full Text :
- https://doi.org/10.1007/s00208-020-02019-z