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- W4313388529 abstract "Abstract This paper aims as the stability and large-time behavior of 3D incompressible Magnetohydrodynamic (MHD) equations with fractional horizontal dissipation and magnetic diffusion. By using the energy methods , we obtain that if the initial data is small enough in H 3 ( R 3 ), then this system possesses a global solution, and whose horizontal derivatives decay at least at the rate of (1 + t ) − 1/2 . Moreover, if we control the initial data further small in H 3 ( R 3 ) ∩ H h −1 ( R 3 ), the sharp decay of this solution and its first-order derivatives are established. Mathematics Subject Classification. 35Q35, 35B35, 35B40, 76D03." @default.
- W4313388529 created "2023-01-06" @default.
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- W4313388529 date "2022-12-19" @default.
- W4313388529 modified "2023-10-14" @default.
- W4313388529 title "Stability and sharp decay for 3D incompressible MHD system with fractional horizontal dissipation and magnetic diffusion" @default.
- W4313388529 doi "https://doi.org/10.21203/rs.3.rs-2377701/v1" @default.
- W4313388529 hasPublicationYear "2022" @default.
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