Local Well-Posedness for the Hall-MHD Equations with Fractional Magnetic Diffusion

Dongho Chae, Renhui Wan, Jiahong Wu

Type: Article

Publication Date: 2015-09-28

Citations: 113

DOI: https://doi.org/10.1007/s00021-015-0222-9

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Journal of Mathematical Fluid Mechanics - View
arXiv (Cornell University) - View - PDF
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+	Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion	2018	Mimi Dai Han Liu
+	Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics	2017	Wenjun Wang Feng Xie Xiongfeng Yang
+	Hall effect on the asymptotic stability of the planar compressible MHD flows	2023	Ying Dai Ying Sun Jianwen Zhang
+	On the Cauchy problem of compressible full Hall-MHD equations	2019	Suhua Lai Xinying Xu Jianwen Zhang
+	Global smooth solutions of the 3D Hall-magnetohydrodynamic equations with large data.	2019	Jinlu Li Xing Wu
+	A class large solution of the 3D Hall-magnetohydrodynamic equations	2019	Jinlu Li Yanghai Yu Weipeng Zhu
+	A Single-Component BKM-Type Regularity Criterion for the Inviscid Axially Symmetric Hall-MHD System	2022	Zijin Li Xinghong Pan
+	Global Large Smooth Solutions for 3-D Hall-magnetohydrodynamics	2019	Huali Zhang
+	A New Boundary Condition for the Hall-Magnetohydrodynamics Equation with the Ion-Slip Effect	2020	Woo Jin Han Hyung Ju Hwang
+	Active vector models generalising 3D Euler and electron–MHD equations	2022	Dongho Chae In‐Jee Jeong

Works Cited by This (12)

Action	Title	Year	Authors
+	Theory of Function Spaces III	2006	Hans Triebel
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+	On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics	2014	Dongho Chae Jihoon Lee
+	Singularity formation for the incompressible Hall-MHD equations without resistivity	2013	Dongho Chae Shangkun Weng
+	On the temporal decay for the Hall-magnetohydrodynamic equations	2013	Dongho Chae María E. Schonbek
+	Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations	1996	Thomas Runst Winfried Sickel
+ PDF Chat	Singularity formation for the incompressible Hall-MHD equations without resistivity	2015	Dongho Chae Shangkun Weng
+	Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system	2011	Marion Acheritogaray Pierre Degond Amic Frouvelle Jian‐Guo Liu
+	Theory of Function Spaces II	1992	Hans Triebel
+	Star Formation and the Hall Effect	2011	Catherine Braiding