On the stability of the solar wind

On the stability of the solar wind
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论太阳风的稳定性

DOI:
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发表时间:
1968
期刊:
影响因子:
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通讯作者:
K. Jockers
K. Jockers
中科院分区:
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文献类型:
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作者:
K. Jockers

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在球对称和恒温的情况下,研究了太阳风的稳定性。它表明,稳定性问题必须制定为一个混合的初始和边界值的问题,其中规定的扰动值的速度和密度在初始时间,另外的速度扰动在基地的日冕的所有时间。该解由正常解的线性叠加构成,正常解只包含指数因子中的时间。稳定性问题变成了速度和压力扰动振幅的奇异本征值问题,因为除了在日冕底部的边界条件之外,还必须加上振幅在临界点有规律地表现的条件。证明了只存在稳定的特征值。
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.