EXISTENCE OF UNBOUNDED SOLUTIONS TO A ONE DIMENSIONAL ISENTROPIC PERIODIC FLOW OF A COMPRESSIBLE VISCOUS FLUID WITH SELF-GRAVITATION

• Sawada Masahiro

  GRADUATE SCHOOL OF INFORMATION SCIENCE AND TECHNOLOGY OSAKA UNIVERSITY

• Yamamoto Yoshitaka

  GRADUATE SCHOOL OF INFORMATION SCIENCE AND TECHNOLOGY OSAKA UNIVERSITY

抄録

We consider a one dimensional isentropic periodic flow of a compressible viscous fluid driven by a self-gravitation of the fluid. We show the existence of an unbounded solution of a system describing the flow. A sufficient condition for the unboundedness is given in terms of the initial values of an energy form.

収録刊行物

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 80 (3), 247-268, 2017

  一般社団法人 国際数理科学協会

キーワード

• one dimensional isentropic flow
• compressible viscous fluid
• self-gravitation
• unbounded solutions

詳細情報

• CRID: 1390845713066241408
• NII論文ID: 130007644630
• DOI: 10.32219/isms.80.3_247
• ISSN: 13460447
• 本文言語コード: en
• データソース種別:
  • JaLC
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可