On the nonlinear instability of thermal structures

Details On the nonlinear instability of thermal structures On the nonlinear instability of thermal structures

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ppcn.conf..259i&link_type=abstract

In ESA, Fourth International Toki Conference on Plasma Physics and Controlled Nuclear Fusion p 259-263 (SEE N94-22624 05-75)

Physics

Plasma Physics

Landau Factor, Magnetohydrodynamic Stability, Nonlinear Equations, Plasma Density, Plasma Temperature, Thermal Stability, Differential Equations, Magnetohydrodynamics, Plasma Physics, Radiative Transfer

Scientific paper

The thermal stability of symmetric structures with a given boundary temperature is analyzed. The structures are assumed to be heated, cooled, and have a thermal conduction coefficient depending only on the density and temperature of the constituting plasma. First order analytical solutions are found for plane, cylindrical, and spherical symmetries for the trivial solution. Explicit analytical criteria for supercritical stability, subcritical instability, asymptotic stability, and super exponential instability are reported.

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