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Existence of global strong solution for the compressible Navier–Stokes equations with degenerate viscosity coefficients in 1D

Boris Haspot

Mathematische Nachrichten, 2018, vol. 291, issue 14-15, 2188-2203

Abstract: We consider Navier–Stokes equations for compressible viscous fluids in the one‐dimensional case. We prove the existence of global strong solution with large initial data for compressible Navier–Stokes equation with viscosity coefficients of the form ∂x(ρα∂xu) with 12

Date: 2018
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https://doi.org/10.1002/mana.201700050

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