The continuous dependence for the Hall-MHD equations with fractional magnetic diffusion
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Publication:5207784
DOI10.1080/00036811.2018.1491036zbMath1428.35414arXiv1803.09373OpenAlexW2964226358MaRDI QIDQ5207784
Jinlu Li, Dingxing Zhong, Xing Wu
Publication date: 13 January 2020
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09373
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Magnetohydrodynamics and electrohydrodynamics (76W05)
Cites Work
- On global existence, energy decay and blow-up criteria for the Hall-MHD system
- Well-posedness for Hall-magnetohydrodynamics
- Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
- Well-posedness for the incompressible Hall-MHD equations in low regularity spaces
- Well-posedness and analytic solutions of the two-component Euler-Poincaré system
- On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
- On the temporal decay for the Hall-magnetohydrodynamic equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations
- On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system
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