Well-posedness for the Incompressible Hall-MHD Equations in Low Regularity Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1096-x
Abstract: In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in $$H^s(\mathbb {R}^3)$$Hs(R3)$$(\frac{3}{2}< s\le \frac{5}{2})$$(32 read more here.
Keywords: well posedness; mhd equations; posedness incompressible; hall mhd ... See more keywords
Asymptotic Behavior of Solutions to a New Hall-MHD System
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0170-5
Abstract: In this paper, by using Fourier splitting method and the properties of decay character r∗$r^{*}$, we consider the algebraic time decay rate of solutions to a new Hall-MHD system in Sobolev space Hm(R3)×Hm+1(R3)$H^{m}(\mathbb{R} ^{3})\times H^{m+1}(\mathbb{R}^{3})$… read more here.
Keywords: mhd system; new hall; solutions new; hall mhd ... See more keywords
Global well-posedness and analyticity of solutions to three-dimensional Hall-MHD equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.03.020
Abstract: Abstract In this paper, suppose that the initial data is sufficiently small, we study the global well-posedness and analyticity of mild solutions to the three-dimensional incompressible Hall-MHD equations. read more here.
Keywords: three dimensional; global well; well posedness; posedness analyticity ... See more keywords
Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124343
Abstract: Abstract In this paper, we consider the Liouville-type problem of the three dimensional stationary incompressible Navier-Stokes equations, and establish an improved Liouville-type result only under the condition that the L p norm of a velocity… read more here.
Keywords: mhd equations; mhd hall; liouville type; navier stokes ... See more keywords
2D Hall-MHD investigation of the magnetic pressure balance during merging start-up in spherical tokamaks
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DOI: 10.1088/1741-4326/ac26ea
Abstract: In this work, the formation and merging of two spherical tokamak (ST) plasmas have been studied by the mean of the 2D Hall-MHD simulation. It was found that during the ST plasma formation, an internal… read more here.
Keywords: hall; hall mhd; investigation magnetic; toroidal field ... See more keywords
Low Mach number limit of the full compressible Hall-MHD system
Sign Up to like & getrecommendations! Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2017084
Abstract: In this paper we study the low Mach number limit of the full compressible Hall-magnetohydrodynamic (Hall-MHD) system in \begin{document}$\mathbb{T}^3$\end{document} . We prove that, as the Mach number tends to zero, the strong solution of the… read more here.
Keywords: mhd system; hall; mach number; hall mhd ... See more keywords