Statistical mechanics of Euler equations in two dimensions
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Publication:4490695
DOI10.1103/PhysRevLett.65.2137zbMath1050.82553WikidataQ52469824 ScholiaQ52469824MaRDI QIDQ4490695
Publication date: 16 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Unnamed Item
- Vortex methods for flow simulation
- Statistical mechanics of vortices in an inviscid two-dimensional fluid
- Nonlinear stability of fluid and plasma equilibria
- Vortex dynamics in a shearing zonal flow
- On some statistical properties of hydrodynamical and magneto-hydrodynamical fields