Pullback attractors for 2D MHD equations with delays

Pullback attractors for 2D MHD equations with delays

The aim of this paper is to consider the asymptotic dynamics of solutions to 2D MHD equations when the external forces contain some hereditary characteristics. First, we establish, respectively, the well-posedness of strong solutions and weak solutions; then, the process Ũ(⋅,⋅) generated by the wea...

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Veröffentlicht in:Journal of mathematical physics 2021-07, Vol.62 (7)
Hauptverfasser: Song, Xiaoya, Xiong, Yangmin
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Mathematical analysis
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description The aim of this paper is to consider the asymptotic dynamics of solutions to 2D MHD equations when the external forces contain some hereditary characteristics. First, we establish, respectively, the well-posedness of strong solutions and weak solutions; then, the process Ũ(⋅,⋅) generated by the weak solutions is constructed in MH2(=H×LH2); and finally, we analyze the long-time behavior of the weak solutions by proving the existence of a compact pullback attractor.
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title Pullback attractors for 2D MHD equations with delays
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