Solar Flare MDH
Annual rept. 1 Jan-31 Dec 1991,
NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
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The following research problems were investigated in this program of theoretical solar plasma physics. 1 Three Dimensional Reconnection A model with axially bounded magnetic flux tubes has been suggested as a source of coronal heating. Numerical simulations have supported this theory 2 Fast Reconnection A reconnection rate for the driven reconnection of solar coronal loops and other axially bounded magnetic fields has been obtained 3 Approximate Equilibrium States Equilibrium states appropriate for coronal flux tubes and for the magnetic tail of the magnetosphere have been constructed analytically and numerically 4 Boundary Conditions A full solution for plane symmetry has been obtained for standing plasma waves with a discontinuous anchoring conductivity 5 Alfven Waves It has been shown that highly energetic ions can resonantly destabilize Alfven waves but the effect of Kelvin Helmholtz turbulence prevents further Alfven wave growth, limiting them to a small fraction of the beam energy 6 Ballooning Modes The general ballooning equations have been developed. Very simple configurations have been found to be always unstable.