On Moffatt's magnetic relaxation equations

DOI10.1007/s00220-021-04289-3OpenAlexW4207085492MaRDI QIDQ2113508

Rajendra Beekie, Vlad C. Vicol, Susan J. Friedlander

Publication date: 14 March 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14084

zbMATH Keywords

magnetic relaxationMoffatt's equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction ⋮ Global existence and uniqueness of weak solutions of a Stokes-magneto system with fractional diffusions ⋮ Stability for the 2D incompressible MHD equations with only magnetic diffusion ⋮ Magnetic relaxation of a Voigt-MHD system ⋮ Geometric hydrodynamics in open problems ⋮ Existence and regularity of solutions for a 3D coupled parabolic-elliptic equations related to magnetic relaxation

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