著者

Kawashima Shuichi

出版者

Kyoto University

巻号頁・発行日

1984-09-25

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The global (in time) existence and asymptotic stability of smooth solutions to the initial value problem are proved for a general class of quasilinear symmretric hyperbolic-parabolic composite, systems, under the smallness assumptions on the initial data and the dissipation condition on the linearized systems. In the special case of hyperbolic-parabolic systems of conservation laws with a convex entropy, it is also proved that for time t → ∞, the solutions of the nonlinear systems are asymptotic to those of the linear ones if the space-dimension n ≥ 2, and to those of the semi-linear ones if n = 1. These results are applicable to the equations of compressible viscous fluids, the equations of magnetohydrodynamics (or electro-magneto-fluid dynamics) for electrically conducting compressible viscous fluids, the equations of heat conduction with finite speed of propagation, and so on. Furthermore hyperbolic systems of conservation laws with small viscosity are investigated on the relation to the limit systems without viscosity. It is proved that as viscosity tends to zero, the smooth solutions of the systems with viscosity converge on a finite time interval to the smooth solutions of the limit systems.

著者

安室 知 Yasumuro Satoru 田上 繁 Tagami Shigeru 森 武麿 Mori Takemaro 川島 秀一 Kawashima Shuichi 常光 徹 Tsunemitsu Toru 藤川 美代子 Fujikawa Miyoko 山本 志乃 Yamamoto Shino 松田 睦彦 Matsuda Mutsuhiko 若宮 幸一 Wakamiya Koichi

出版者

神奈川大学日本常民文化研究所 非文字資料研究センター

雑誌

年報 非文字資料研究 (ISSN:18839169)

巻号頁・発行日

no.10, pp.97-100, 2014-03-20

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① 水上生活者の歴史的変容(水上生活班) ② 汽水域の民俗文化(汽水班)