An integrable model of nonstationary rotationally symmetrical motion of ideal incompressible liquid

DOI10.1023/A:1008330229469zbMath0965.76016OpenAlexW12187656MaRDI QIDQ1577392

Vladislav Vasil'evich Pukhnachev

Publication date: 20 November 2000

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008330229469

zbMATH Keywords

singularitiescylindrical coordinatesEuler equationsoverdetermined systemexact solutionsvortex motionsLagrangian coordinatesideal incompressible fluidpartially invariant solutiongroup invariantssix-parameter Lie group

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Incompressible inviscid fluids (76B99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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