A class of rotational solutions for the \(N\)-dimensional incompressible Navier-Stokes equations

DOI10.1016/j.amc.2014.07.091zbMath1335.76019OpenAlexW1982179644MaRDI QIDQ278666

Ping Liu

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.091

zbMATH Keywords

quadratic formincompressible Navier-Stokes equationssymmetric matrixcurve integrationrotational solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30)

Cites Work

• Unnamed Item
• Exact, rotational, infinite energy, blowup solutions to the 3-dimensional Euler equations
• Exact solutions of the Navier-Stokes equations - The generalized Beltrami flows, review and extension
• Exact solutions of the unsteady two-dimensional Navier-Stokes equations
• Exact spiral solutions of the two-dimensional Euler equations
• Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in \(\mathbb R^N\)
• An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions
• Instability in Models Connected with Fluid Flows I
• SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP

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