On the Navier-Stokes equations with temperature-dependent transport coefficients
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 e...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/90616 |
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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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| ISSN: | 1687-4099 1687-4102 |