Complete classification of stationary flows with constant total pressure of ideal incompressible infinitely conducting fluid

DOI10.1088/1751-8113/45/23/235501zbMath1394.76145arXiv1111.7119OpenAlexW2014384630MaRDI QIDQ2895746

Sergey V. Golovin, M. K. Krutikov

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1111.7119

zbMATH Keywords

separation of variablesincompressibility conditiongeneralized Cauchy integralnonlinear vector wave equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Dissipation-induced instabilities in magnetized flows ⋮ Local instabilities in magnetized rotational flows: a short-wavelength approach ⋮ Singular diffusionless limits of double-diffusive instabilities in magnetohydrodynamics ⋮ Unsteady flows with a constant total pressure, described by the equations of ideal magnetohydrodynamics ⋮ Symmetry analysis of a system of modified shallow-water equations ⋮ Exact solutions of stationary equations of ideal magnetohydrodynamics in the natural coordinate system

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