Abstract
In this paper, we study the global existence of classical solutions to the three-dimensional compressible Navier–Stokes equations with a density-dependent viscosity coefficient (λ = λ(ρ)). For the general initial data, which could be either vacuum or non-vacuum, we prove the global existence of classical solutions, under the assumption that the viscosity coefficient μ is large enough. Copyright © 2014 John Wiley & Sons, Ltd.
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