Singularity formation in a class of stretched solutions of the equations for ideal magneto-hydrodynamics

DOI10.1088/0951-7715/14/5/316zbMath1016.76097OpenAlexW2150031101MaRDI QIDQ2757158

Koji Ohkitani, John D. Gibbon

Publication date: 15 April 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/70

zbMATH Keywords

blow-upsingularitypseudo-spectral methodtubular domainstretched solutionsthree-dimensional incompressible ideal magnetohydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Spectral methods applied to problems in fluid mechanics (76M22) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (7)

Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions ⋮ Damped infinite energy solutions of the 3D Euler and Boussinesq equations ⋮ Generalized MHD equations. ⋮ A remark on the existence of a class of stretched \(2 \frac{1}{2} D\) magnetohydrodynamics flow ⋮ Global existence and asymptotic stability of 3D generalized magnetohydrodynamic equations ⋮ Atypical late-time singular regimes accurately diagnosed in stagnation-point-type solutions of 3D Euler flows ⋮ Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations

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