Flexibility and rigidity in steady fluid motion

DOI10.1007/s00220-021-04048-4zbMath1467.76013arXiv2007.09103OpenAlexW3043494700MaRDI QIDQ2035925

Daniel Ginsberg, Theodore D. Drivas, Peter Constantin

Publication date: 2 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09103

zbMATH Keywords

Euler equationsLiouville theoremBoussinesq equationsdomain perturbationtwo-dimensional channel flowaxial flow symmetrymagnetohydrostatic equations

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Magnetohydrodynamics and electrohydrodynamics (76W05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

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Cites Work

• Unnamed Item
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• Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
• Liouville theorems for the Navier-Stokes equations and applications
• Inviscid dynamical structures near Couette flow
• Two-dimensional Euler flows in slowly deforming domains
• Symmetry and related properties via the maximum principle
• Elliptic partial differential equations of second order
• Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
• Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
• A Liouville theorem for the Euler equations in the plane
• Shear Flows of an Ideal Fluid and Elliptic Equations in Unbounded Domains
• Homogeneous solutions to the 3D Euler system
• On the existence of two-dimensional Euler flows satisfying energy-Casimir stability criteria
• Some mathematics for quasi-symmetry
• On an apriori estimate in the theory of hydrodynamical stability
• Persistence of steady flows of a two-dimensional perfect fluid in deformed domains

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