✦ LIBER ✦

On the stability of the solar wind

✍ Scribed by Klaus Jockers

Publisher: Springer
Year: 1968
Tongue: English
Weight: 432 KB
Volume: 3
Category: Article
ISSN: 0038-0938
DOI: 10.1007/bf00151941

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✦ Synopsis

The stability of the solar wind is studied in the case of spherical symmetry and constant temperature. It is shown that the stability problem must be formulated as a mixed initial and boundary-value problem in which are prescribed the perturbation values of velocity and density at an initial time and additionally the velocity perturbation at the base of the corona for all times. The solution is constructed by linear superposition of normal solutions, which contain the time only in an exponential factor. The stability problem becomes a singular eigenvalue problem for the amplitudes of the velocity and pressure perturbations, since additionally to the boundary condition at the base of the corona one must add the condition that the amplitudes behave regularly at the critical point. It is proved that only stable eigenvalues exist.

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