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
Boundary layer problem and zero viscosity-diffusion limit of the incompressible magnetohydrodynamic system with no-slip boundary conditions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.05.025
Abstract: Abstract The purpose of this paper is to study the boundary layer problem and zero viscosity-diffusion limit of the initial boundary value problem for the incompressible viscous and diffusive magnetohydrodynamic (MHD) system with (no-slip characteristic)… read more here.
Keywords: mhd system; boundary layer; system; diffusion ... See more keywords
Boundary layer problem of MHD system with non-characteristic perfect conducting wall
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1395867
Abstract: ABSTRACT In this paper, we study the boundary layer problem for the incompressible MHD system with the magnetic field having a non-characteristic perfect conducting wall boundary condition. Using the multi-scale analysis and asymptotic expansion approach,… read more here.
Keywords: mhd; mhd system; non characteristic; boundary layer ... See more keywords
Learning-PDE-Based Approximate Optimal Control for an MHD System With Uncertainty Quantification
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2022.3152505
Abstract: Handling uncertainty is one of the most important challenges in real physical systems. In this article, we study an approximate optimal magnetic control strategy for a one-dimensional (1-D) magnetohydrodynamic (MHD) system with uncertainty quantification within… read more here.
Keywords: uncertainty; approximate optimal; control; mhd system ... See more keywords
Low Mach number limit of the full compressible Hall-MHD system
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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
Uniform regularity and vanishing viscosity limit for the incompressible non-resistive MHD system with transverse magnetic field
Sign Up to like & getrecommendations! Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021073
Abstract: This paper is concerned with the vanishing viscosity limit for the incompressible MHD system without magnetic diffusion effect in the half space under the influence of a transverse magnetic field on the boundary. We prove… read more here.
Keywords: mhd; transverse magnetic; magnetic field; viscosity ... See more keywords