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Decay of solutions to a new Hall-MHD system in \(\mathbb{R}^3\) - MaRDI portal

Decay of solutions to a new Hall-MHD system in \(\mathbb{R}^3\) (Q517499)

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scientific article; zbMATH DE number 6696962
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English
Decay of solutions to a new Hall-MHD system in \(\mathbb{R}^3\)
scientific article; zbMATH DE number 6696962

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    Decay of solutions to a new Hall-MHD system in \(\mathbb{R}^3\) (English)
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    23 March 2017
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    In this paper the author considers the large time behaviour of solutions of a modified Hall-MHD system in \({\mathbb R}^3\). Using the Fourier splitting method he proves an upper bound of the time decay rate in \(L^2({\mathbb R}^3)\) for weak solutions.
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    MHD
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    Hall effect
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    large time behaviour
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    Fourier splitting
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