Existence of three-dimensional, steady, inviscid, incompressible flows with nonvanishing vorticity

DOI10.1007/BF01444632zbMath0772.35049OpenAlexW2021407632MaRDI QIDQ1204139

Hans-Dieter Alber

Publication date: 3 March 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164925

zbMATH Keywords

stability properties

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Vortex flows for incompressible inviscid fluids (76B47)

Related Items (12)

Steady vortex patches near a nontrivial irrotational flow ⋮ On the Grad-Rubin boundary value problem for the two-dimensional magneto-hydrostatic equations ⋮ Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force. ⋮ On 2D steady Euler flows with small vorticity near the boundary ⋮ Steady three-dimensional rotational flows : an approach via two stream functions and Nash-Moser iteration ⋮ Three dimensional steady subsonic Euler flows in bounded nozzles ⋮ Three dimensional non-isentropic subsonic Euler flows in rectangular nozzles ⋮ Steady three-dimensional ideal flows with nonvanishing vorticity in domains with edges ⋮ Boundary value problems for two dimensional steady incompressible fluids ⋮ Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain ⋮ A variational principle for three-dimensional water waves over Beltrami flows ⋮ Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability of viscous fluid motions
• Ideal incompressible fluid motion in domains with edges. I
• Note on the formulation of the problem of flow through a bounded region using equations of perfect fluid
• On the Euler equations of incompressible perfect fluids
• Über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkompressiblen Flüssigkeit
• Remarks on the Euler equation
• Randwertprobleme für die zeitunabhängigen Maxwellschen Gleichungen mit variablen Koeffizienten
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• On the low frequency asymptotics in electromagnetic theory.
• Solvability of an initial boundary value problem for the euler equations in twodimensional domain with corners
• Local solvability of a nonstationary leakage problem for an ideal incompressible fluid, 3
• Regularity theorems for Maxwell's equations

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