Vortex phantoms in the stationary Kochin-Yudovich flow problem

DOI10.1134/S0965542521040114zbMath1465.76025OpenAlexW3171008375MaRDI QIDQ2030127

O. V. Troshkin

Publication date: 7 June 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521040114

zbMATH Keywords

nonuniquenessnegative Laplacianstationary Euler equationsKochin-Yudovich problemsmoothly frozen vortex

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• On smooth vortex catastrophe of uniqueness for stationary flows of an ideal fluid
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Topological analysis of the structure of hydrodynamic flows
• A TWO-DIMENSIONAL FLOW PROBLEM FOR STEADY-STATE EULER EQUATIONS
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• The Identity of Weak and Strong Extensions of Differential Operators
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