Nonunique Weak Solutions in Leray--Hopf Class for the Three-Dimensional Hall-MHD System
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Publication:5158396
DOI10.1137/20M1359420zbMath1503.76128arXiv1812.11311OpenAlexW3206696081MaRDI QIDQ5158396
Publication date: 22 October 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11311
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (9)
On uniqueness and helicity conservation of weak solutions to the electron-MHD system ⋮ Rigorous results on conserved and dissipated quantities in ideal MHD turbulence ⋮ On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions ⋮ Non-uniqueness of weak solutions to 3D magnetohydrodynamic equations ⋮ Phenomenologies of intermittent Hall MHD turbulence ⋮ \(L^2\)-critical nonuniqueness for the 2D Navier-Stokes equations ⋮ Non-conservative solutions of the Euler-\(\alpha\) equations ⋮ An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain ⋮ Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations
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