Abstract
The ideal incompressible magnetohydrodynamic equations in two dimensions are studied analytically and numerically. We focus on a standard scenario of singularity formation where level sets of the magnetic stream function contain a hyperbolic saddle. Analytically we obtain an exponential estimate on the closing of the angle under the assumption that the velocity remains bounded. This result is supported by high-resolution numerical simulations using adaptive structured mesh refinement. © 2000 John Wiley & Sons, Inc.
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