Rotational and self-similar blowup solutions for the Euler equations for generalized chaplygin gas

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Abstract

In this paper, we establish a family of rotational and self-similar solutions for the Euler equations for generalized Chaplygin gas which occurs in cosmology model as a unification of dark matter and dark energy. By analyzing a system of ordinary differential equations, we show that our family of solutions blows up on finite time in 4 cases out of 6 according to the classification of parameters. Copyright © 2016 Research India Publications.
Original languageEnglish
Pages (from-to)317-330
JournalAdvances in Theoretical and Applied Mathematics (ATAM)
Volume11
Issue number4
Publication statusPublished - 2016

Citation

Cheung, K. L. (2016). Rotational and self-similar blowup solutions for the Euler equations for generalized chaplygin gas. Advances in Theoretical and Applied Mathematics, 11(4), 317-330.

Keywords

  • Rotational
  • Self-similar
  • Blowup
  • Euler equations
  • Generalized
  • Chaplygin gas

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