magnetic helicity topology magnetic fields knots plasmas numerical resistivity navier-stokes braids magnetic field solar physics magnetic field relaxation parker hypothesis dynamo mhd mathematics simulations numerical code twist kelvin-helmholtz fluid mechanics bubbles galaxies numerical viscosity numerical dissipation finite difference numerical analysis periodic box vector potential magnetohydrodynamics vorticity plasma sun magneti fields hopf fibration topological entropy chaos glass relaxation dielectric spectroscopy fractional derivatives kepler satellite stars flares superflares magnetic nulls current formation magnetic vector potentials periodic domains magnetic relaxation fixed point index gauge turbulence quenching solar dynamo iucaa knot borromean rings trefoil knot
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