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Global regularity for 3D large spherically symmetric degenerate compressible Navier-Stokes equations with superlinear BD viscosity and far-field vacuum

Huang, Xiangdi et al.
arXiv (All) · Papers
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35b4535b6535q3076n10analysis-of-pdes
Superlinear density-dependent viscosity presents a fundamental obstacle of global regularity to the compressible Navier-Stokes equations in the presence of far-field vacuum: the viscous diffusion vanishes at infinity, so excluding vacuum on bounded sets does not suffice to control the flow globally.
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