New classes of exact solutions and some transformations of the Navier-Stokes equations

DOI10.1134/S1061920810010012zbMath1192.35128arXiv0909.0446WikidataQ125336982 ScholiaQ125336982MaRDI QIDQ965917

S. N. Aristov, Andrei D. Polyanin

Publication date: 26 April 2010

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0446

zbMATH Keywords

stabilityNavier-Stokes equationsperiodic solutionsCrocco-type transformation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Positive solutions to PDEs (35B09)

Related Items (4)

Families of superposable planar exact solutions for skew-symmetric couple stress fluid flows ⋮ A new class of non-helical exact solutions of the Navier-Stokes equations ⋮ Exact solutions to generalized plane Beltrami--Trkal and Ballabh flows ⋮ New classes of periodic and non-periodic exact solutions for newtonian and non-Newtonian fluid flows

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