Mathematical modeling and analysis of astronomical phenomena on the basis of continuum approximation

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We mathematically modelized, on the basis of continuum approximation, some astrophysical phenomena including the inner one of astronomical bodies, and mathematically analyzed them. We obtained the following main two results: (1) On the case that a star is composed by the ideal gas and its motion is spacially one-dimensional, we found a certain condition, concerning external circumstances of the star, guaranteeing that the motion of the gas exists long-time and stably; (2) On the case that the gaseous motion is spherically symmetric in three-dimension, we obtained the result nearly equivalent to the one in (1). Although a precedent result of our study has already been obtained by the present reporter, we succeeded in refining them at some essential points.