On blowup phenomenon of solutions to the Euler equations for generalized chaplygin gas

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Abstract

We obtain some blowup results of the Euler equations for Generalized Chaplygin Gas (GCG). In particular, we show that the solutions with velocity of the form u(t, x) = a(t) ˙/ a(t) x blow up on finite time if the parameter of the ordinary differential equation related to a(t) is negative. Moreover, by the substitution and perturbation methods, we construct a family of non-spherical symmetric blowup solutions for the one dimensional GCG system. Copyright © 2016 Research India Publications.
Original languageEnglish
Pages (from-to)1-16
JournalAdvances in Theoretical and Applied Mathematics
Volume11
Issue number1
Publication statusPublished - 2016

Citation

Cheung, K. L. (2016). On blowup phenomenon of solutions to the Euler equations for generalized chaplygin gas. Advances in Theoretical and Applied Mathematics, 11(1), 1-16.

Keywords

  • Blowup
  • Spherical Symmetry
  • Euler equations
  • Trivial Solutions
  • Generalized
  • Chaplygin Gas

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