Japan Journal of Industrial and Applied Mathematics

, Volume 11, Issue 1, pp 171–183

Initial boundary value problem for the spherically symmetric motion of isentropic gas

  • Tetu Makino
  • Shigeharu Takeno
Article

DOI: 10.1007/BF03167220

Cite this article as:
Makino, T. & Takeno, S. Japan J. Indust. Appl. Math. (1994) 11: 171. doi:10.1007/BF03167220

Abstract

We study the spherically symmetric motion of an ideal gas surrounding a solid ball. This is governed by the compressible Euler equation of isentropic gas dynamics. The associated initial boundary value problem is solved by using the compensated compactness method for initial data containing the vacuum. The constructed weak solutions are temporally local but the class of initial data includes the stationary solutions.

Key words

initial boundary value problemisentropic gas dynamicsspherically symmetric motionweak solutions

Copyright information

© JJIAM Publishing Committee 1994

Authors and Affiliations

  • Tetu Makino
    • 1
  • Shigeharu Takeno
    • 2
  1. 1.Department of Liberal ArtsOsaka Sangyo UniversityOsakaJapan
  2. 2.Department of Mathematical Sciences, Graduate School of Science and TechnologyNiigata UniversityNiigata CityJapan