Global existence and asymptotic behavior of self-similar solutions for the Navier-Stokes-Nernst-Planck-Poisson system in \(\mathbb R^3\) (Q762931)
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scientific article; zbMATH DE number 6013182
| Language | Label | Description | Also known as |
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| English | Global existence and asymptotic behavior of self-similar solutions for the Navier-Stokes-Nernst-Planck-Poisson system in \(\mathbb R^3\) |
scientific article; zbMATH DE number 6013182 |
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Global existence and asymptotic behavior of self-similar solutions for the Navier-Stokes-Nernst-Planck-Poisson system in \(\mathbb R^3\) (English)
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8 March 2012
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Summary: We study the Navier-Stokes-Nernst-Planck-Poisson system modeling the flow of electrohydrodynamics. For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type.
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