Exact solutions of steady Euler equations in two dimension by functional separation

DOI10.1088/1751-8121/AD2F0FzbMATH Open1542.35296MaRDI QIDQ6561791

Sun-Chul Kim

Publication date: 25 June 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

exact solutionEuler equationscurvilinear coordinatesfunctional separationinviscid incompressible flows

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Solutions to PDEs in closed form (35C05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• Title not available (Why is that?)
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• Nearly singular two-dimensional Kolmogorov flows for large Reynolds numbers
• Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl
• Harmonic maps and ideal fluid flows
• The flow of a viscous fluid. I
• Applied mathematics
• Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers
• A class of exact multipolar vortices
• A row of counter-rotating vortices
• On Prandtl--Batchelor Theory of a Cylindrical Eddy: Asymptotic Study
• Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation
• Functional separation of variables for Laplace equations in two dimensions
• A two-dimensional vortex condensate at high Reynolds number
• The Navier-Stokes Equations
• Uniqueness of the exact solutions of the Navier—Stokes equations having null nonlinearity

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