Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions

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Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations (2010, methodology): “As in [13], we define w1 and w2 to be the solution to Lw1 D 0; w1.”
Weak–Strong Uniqueness for the Isentropic Compressible Navier–Stokes System (2008, background): “A nice feature of the result of Hoff is that his criterion includes solutions that exhibit a particular kind of singularity, which is known to exist for (CINS): see Hoff [11].”
Existence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluids (2010, methodology): “Hoff [28] uses this result to show that the solutions are unique in two dimensions.”