Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations

In this paper, the Cauchy problem of the 3 + 1-dimensional relativistic Euler equations for generalized Chaplygin gas with non-vacuum initial data is considered. It is shown that for large background energy-mass density and small pressure coefficient, the smooth solutions of the relativistic Euler equations for generalized Chaplygin gas with the generalized subluminal condition will blow up on finite time when the initial radial component of the generalized momentum is sufficiently large. Moreover, our blowup condition is independent of the signs of the generalized mass. Copyright © 2020 Elsevier Inc. All rights reserved.