On the Navier-Stokes equations with temperature-dependent transport coefficients (Q2477176)
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| Language | Label | Description | Also known as |
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| English | On the Navier-Stokes equations with temperature-dependent transport coefficients |
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On the Navier-Stokes equations with temperature-dependent transport coefficients (English)
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13 March 2008
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Summary: We establish long-time and large-data existence of a weak solution to the problem describing three-dimensional unsteady flows of an incompressible fluid, where the viscosity and heat-conductivity coefficients vary with the temperature. The approach reposes on considering the equation for the total energy rather than the equation for the temperature. We consider the spatially periodic problem.
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Navier-Stokes equation
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transport coefficients
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Fáedo-Galerkin approximation
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