For gamma = 5/3, corresponding to a monatomic gas, there exist smooth initial data for which the 3-D compressible Navier-Stokes equations blow up in finite time in a self-similar implosion.
Alinhac, Blowup of small data solutions for a quasilinear wave equation in two space dimensions
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Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases
For gamma = 5/3, corresponding to a monatomic gas, there exist smooth initial data for which the 3-D compressible Navier-Stokes equations blow up in finite time in a self-similar implosion.