Mixed Lagrangian–Eulerian description of vortical flows for ideal and viscous fluids

DOI10.1017/S0022112008000281zbMath1151.76404OpenAlexW2073924843MaRDI QIDQ3506793

Evgenii Kuznetsov

Publication date: 17 June 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112008000281

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Viscous vortex flows (76D17)

Related Items (8)

Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier–Stokes equations ⋮ Divorticity and dihelicity in two-dimensional hydrodynamics ⋮ Exact solutions for the fluid impulse for incompressible and compressible flows ⋮ Hydrodynamic impulse in a compressible fluid ⋮ Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion ⋮ Beltrami states for compressible barotropic flows ⋮ The dual stream function representation of an ideal steady fluid flow and its local geometric structure ⋮ Symmetry transformations of an ideal steady fluid flow determined by a potential function

Cites Work

• Velocity and scaling of collapsing Euler vortices
• Vorticity and the mathematical theory of incompressible fluid flow
• Evidence for a singularity of the three-dimensional, incompressible Euler equations
• The degree of knottedness of tangled vortex lines

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