3 problems

Taylor's conjecture. Magnetic helicity is approximately conserved for small resistivities. This conjecture concerns the robustness of magnetic helicity in turbulent regimes, and th…

Buckmaster–Vicol magnetic helicity conservation conjecture. The space $L^3_{t,x}$ is the threshold regularity space for solutions of the ideal MHD system to conserve magnetic helic…

Let $B$ be the magnetic field of an ideal magnetohydrodynamic solution, and let $L^3_{t,x}$ denote the space of space-time functions integrable to the third power. Faraco–Lindberg–…