Singularities of the Euler equation and hydrodynamic stability

DOI10.1063/1.858583zbMath0777.76079OpenAlexW1991344162MaRDI QIDQ4202572

Saleh Tanveer, Charles G. Speziale

Publication date: 8 December 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e7cc967fa1b19b45823b54a8b4daa387d30e2bb3

zbMATH Keywords

complex singularitiescomplex velocityelliptical flowsKelvin-Stuart cat's eye

Mathematics Subject Classification ID

Hydrodynamic stability (76E99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

On motion of the point algebraic singularity for two-dimensional nonlinear equations of hydrodynamics ⋮ On complex singularities of the 2D Euler equation at short times ⋮ On the three-dimensional instabilities of plane flows subjected to Coriolis force ⋮ Nature of complex singularities for the 2D Euler equation

Cites Work

• On stability for symmetric hyperbolic systems. I
• On the interface dynamics for convection in porous media
• Finite-difference solutions of Taylor instabilities in viscous plane flow
• The effect of uniform distortion on weak homogeneous turbulence
• Collapsing solutions to the 3-D Euler equations
• Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
• The stability of two-dimensional linear flows
• Evolution of wavelike disturbances in shear flows : a class of exact solutions of the Navier-Stokes equations
• The two- and three-dimensional instabilities of a spatially periodic shear layer
• Vorticity, Turbulence, and Acoustics in Fluid Flow
• Local stability conditions in fluid dynamics
• Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows
• Roll-cell instabilities in rotating laminar and trubulent channel flows
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Instability criteria for the flow of an inviscid incompressible fluid
• On finite amplitude oscillations in laminar mixing layers
• The analogy between streamline curvature and buoyancy in turbulent shear flow

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