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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| _version_ | 1832558247684341760 |
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| author | Eduard Feireisl Josef Málek |
| author_facet | Eduard Feireisl Josef Málek |
| author_sort | Eduard Feireisl |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6fcbddafc6db4225ab6222b277d0c8e5 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-6fcbddafc6db4225ab6222b277d0c8e52025-02-03T01:32:50ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/9061690616On the Navier-Stokes equations with temperature-dependent transport coefficientsEduard Feireisl0Josef Málek1Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, Praha 1 115 67, Czech RepublicMathematical Institute, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 8 18675, Czech RepublicWe 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.http://dx.doi.org/10.1155/DENM/2006/90616 |
| spellingShingle | Eduard Feireisl Josef Málek On the Navier-Stokes equations with temperature-dependent transport coefficients Differential Equations and Nonlinear Mechanics |
| title | On the Navier-Stokes equations with temperature-dependent transport coefficients |
| title_full | On the Navier-Stokes equations with temperature-dependent transport coefficients |
| title_fullStr | On the Navier-Stokes equations with temperature-dependent transport coefficients |
| title_full_unstemmed | On the Navier-Stokes equations with temperature-dependent transport coefficients |
| title_short | On the Navier-Stokes equations with temperature-dependent transport coefficients |
| title_sort | on the navier stokes equations with temperature dependent transport coefficients |
| url | http://dx.doi.org/10.1155/DENM/2006/90616 |
| work_keys_str_mv | AT eduardfeireisl onthenavierstokesequationswithtemperaturedependenttransportcoefficients AT josefmalek onthenavierstokesequationswithtemperaturedependenttransportcoefficients |