Large Time Decay for the Magnetohydrodynamics System in $\dot{\boldsymbol{H}^{s}}(\mathbb{R}^{n})$
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DOI: 10.1007/s10440-019-00276-y
Abstract: We show that $t^{s/2} \| (\boldsymbol{u},\boldsymbol{b})(t) \|_{{\dot{H}^{s}(\mathbb{R}^{n})}} \to0 $ as $t \to\infty$ for global Leray solutions $(\boldsymbol{u},\boldsymbol{b})(t)$ of the incompressible MHD equations, where $2 \leq n \leq4$ and $s \geq0$ (real). We also provide some… read more here.
Keywords: large time; boldsymbol; magnetohydrodynamics; time decay ... See more keywords