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

Masahiro Sawada; Yoshitaka Yamamoto

doi:10.32219/isms.80.3_247

Masahiro Sawada, Yoshitaka Yamamoto

著者情報

キーワード: one dimensional isentropic flow, compressible viscous fluid, self-gravitation, unbounded solutions

ジャーナルフリー

2017 年 80 巻 3 号 p. 247-268

DOI https://doi.org/10.32219/isms.80.3_247

詳細

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.

責任著者(Corresponding author)

J-STAGEへの登録はこちら（無料）