In this paper,we study the barotropic Navier-Stokes-Langevin-Korteweg system in R3.Assuming the derivatives of the square root of the density and the velocity field decay to zero at infinity,we can prove the classical solutions blow up in finite time when the initial energy has a certain upper bound.We obtain this blow up result by a contradiction argument based on the conservation of the total mass and the total quasi momentum.
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机译:Global wellposedness and asymptotic behavior of axisymmetric strong solutions to the vacuum free boundary problem of isentropic compressible Navier-Stokes equations