The artificial compressibility approximation for MHD equations in unbounded domain (Q2836515)
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scientific article; zbMATH DE number 6183403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The artificial compressibility approximation for MHD equations in unbounded domain |
scientific article; zbMATH DE number 6183403 |
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3 July 2013
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artificial compressibility method
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dispersive estimates
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soleinoidal component
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The artificial compressibility approximation for MHD equations in unbounded domain (English)
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A method of approximation for the weak solutions of the incompressible magnetohydrodynamic equations in unbounded domains are considered. Hyperbolic versions of the so-called artificial compressibility method adapted to the magnetohydrodynamic equations (MDH) system are described. By exploiting the wave equations structure of the approximating system, the author achieves the convergence of the approximating sequences by means of dispersive estimates of Strichartz type. The soleinoidal component of the approximating velocity and magnetic fields is relatively compact and converges strongly to a weak solution of the MHD equations are proved.
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