A geometrical study of 3D incompressible Euler flows with Clebsch potentials - a long-lived Euler flow and its power-law energy spectrum
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Publication:942769
DOI10.1016/j.physd.2008.01.011zbMath1143.76392OpenAlexW2001205299MaRDI QIDQ942769
Publication date: 5 September 2008
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2008.01.011
KdV equations (Korteweg-de Vries equations) (35Q53) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (5)
Addendum: Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion (2018 Nonlinearity 31 R25) ⋮ Development of high vorticity structures in incompressible 3D Euler equations ⋮ Stochastically symplectic maps and their applications to the Navier-Stokes equation ⋮ Asymptotic solution for high-vorticity regions in incompressible three-dimensional Euler equations ⋮ Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion
Cites Work
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- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
- An Eulerian-Lagrangian approach for incompressible fluids: Local theory
- Gauge principle and variational formulation for ideal fluids with reference to translation symmetry
- Small-scale structure of the Taylor–Green vortex
- Impulse, Flow Force and Variational Principles
- Two-and-a-half-dimensional magnetohydrodynamic turbulence
- Direct numerical simulation of transition to turbulence from a high-symmetry initial condition
- Evolution of complex singularities in Kida–Pelz and Taylor–Green inviscid flows
- Decaying Kolmogorov turbulence in a model of superflow
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