Abstract We studied an initial boundary value problem for the full incompressible Navier-Stokes equations with viscosity μ and heat conductivity κ depending on temperature by the power law of Chapman-Enskog.… Click to show full abstract
Abstract We studied an initial boundary value problem for the full incompressible Navier-Stokes equations with viscosity μ and heat conductivity κ depending on temperature by the power law of Chapman-Enskog. With this focus, the existence of global-in-time strong solution, under some appropriate smallness assumptions on initial data, has been proved in this paper. Moreover, the large-time behavior and decay rate estimates of the strong solution are obtained.
               
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