Regularity criteria and small data global existence to the generalized viscous Hall-magnetohydrodynamics
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Publication:2006498
DOI10.1016/j.camwa.2015.08.028zbMath1443.35116OpenAlexW1469343083MaRDI QIDQ2006498
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.08.028
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25)
Related Items (28)
Well-posedness results for the 3D incompressible Hall-MHD equations ⋮ Well-posedness for the incompressible Hall-MHD equations in low regularity spaces ⋮ Global regularity for the 3D generalized Hall-MHD system ⋮ Global wellposedness for Hall-MHD equations ⋮ A new regularity criterion for the 3D generalized Hall-MHD system with \(\beta \in (\frac{1}{2}, 1\)] ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ A regularity criterion for a generalized Hall-MHD system ⋮ Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data ⋮ On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations ⋮ Remark on regularity criterion for the 3D Hall-MHD equations involving only the vorticity ⋮ Magneto-hydrodynamical model for plasma ⋮ A new blowup criterion for a generalized Hall-MHD system concerning the deformation tensor ⋮ An improved regularity criterion for the 3D Hall-MHD equations via the vorticity ⋮ A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity ⋮ Global existence and large time behavior of solutions for full compressible Hall-MHD equations ⋮ GLOBAL REGULARITY FOR 3D GENERALIZED HALL MAGNETO-HYDRODYNAMICS EQUATIONS ⋮ Global existence and asymptotic behavior for the 3D generalized Hall-MHD system ⋮ A class of large solutions to the 3D generalized Hall-MHD equations ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ Unnamed Item ⋮ Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity ⋮ On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces ⋮ On 3D Hall-MHD equations with fractional Laplacians: global well-posedness ⋮ On the well-posedness and temporal decay for the 3D generalized incompressible Hall-MHD system ⋮ Remarks on the global regularity issue of the two-and-a-half-dimensional Hall-magnetohydrodynamics system ⋮ Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations ⋮ A note on the Liouville type theorem for the smooth solutions of the stationary Hall-MHD system ⋮ Regularity criteria for 3D Hall-MHD equations
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