Chemically reacting fluid flows: Strong solutions and global attractors (Q1591586)
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scientific article; zbMATH DE number 1547249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chemically reacting fluid flows: Strong solutions and global attractors |
scientific article; zbMATH DE number 1547249 |
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Chemically reacting fluid flows: Strong solutions and global attractors (English)
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27 November 2001
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The author investigates a model of incompressible reacting flows consisting of Navier-Stokes equations and reaction-diffusion equations with a transport term. It is shown that in two dimensions a strong global solution (together with global attractor which is compact in \(L_2\)) exists for all time, but in three dimensions the solution exists only for small times. The proof is based on a variant of the Bubnov-Galerkin method.
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global-in-time two-dimensional solution
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small-time three-dimensional solution
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incompressible reacting flows
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Navier-Stokes equations
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reaction-diffusion equations
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transport term
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global attractor
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Bubnov-Galerkin method
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0.9015750885009766
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0.8972522616386414
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0.8034042119979858
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