On Blowup Phenomenon of Solutions to the Euler Equations for Generalized Chaplygin Gas
نویسنده
چکیده
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) = ȧ(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 onedimensional GCG system. AMS Subject Classification: 35Q31, 35B44, 76N15.
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