A class of accelerated solutions of the two–dimensional ideal magnetohydrodynamic equations

DOI10.1098/rspa.2001.0842zbMath1005.76095OpenAlexW2149150253MaRDI QIDQ4535337

D. L. G. Cheung, Thomas Neukirch

Publication date: 13 June 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2001.0842

zbMATH Keywords

self-similar solutionsexact solutionspotential forceconducting fluidsideal isothermal plasmanon-vanishing accelerationtwo-dimensional time-dependent magnetohydrodynamic equationsvanishing resistivity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (4)

Pulsating flows of the 2D Euler-Poisson equations ⋮ On \(q\)-Gaussian integrable Hamiltonian reductions in anisentropic magneto-gasdynamics ⋮ Universal and Integrable Aspects of an Elliptic Vortex Representation in 2+1‐Dimensional Magneto‐Gasdynamics ⋮ The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability

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