スギモト タケシ   Sugimoto Takeshi
  杉本 剛
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 日本語
発行・発表の年月 2012/08
形態種別 その他
査読 査読あり
標題 RING-PATTERN FORMATION IN THE ROTATING STELLAR STRUCTURES
執筆形態 単著
掲載誌名 Abstract Book, 23rd ICTAM
巻・号・頁 p.228頁
概要 The stellar structures are treated as the perfect gas that changes in a polytropic manner, that obeys compressible fluid dynamics and that is governed by law of the gravitation. Within this Chandrasekhar's framework revisited is Aihara's numerical work (1984) on Saturn's rings. Rotation is prescribed as follows: rigid rotation in the stellar core; rotation with a centrifugal force in equilibrium with a centripetal gravitation in outer space. The final form is reduced to the equation on the gravitation potential. In case the specific-heat ratio is two with particular interest, the equation is treated in mathematically rigorous manners: generation of a general solution to the first-order PDE and use of similarity solution. There is an analytic closed-form solution consisting of Bessel and Struve functions. The solution shows the existence of many potential wells in the equatorial plane around the stellar core. These accommodate dense mass distributions like Saturn's rings.