Global well-posedness of the incompressible Hall-MHD system in critical spaces

DOI10.1007/s00028-023-00933-8OpenAlexW4390719593MaRDI QIDQ6155104

Mikihiro Fujii

Publication date: 16 February 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-023-00933-8

zbMATH Keywords

global well-posednessHall-MHD systemscaling critical spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Small solutions for nonlinear heat equations, the Navier-Stokes equation and the Keller-segel system in Besov and Triebel-Lizorkin spaces
• On global existence, energy decay and blow-up criteria for the Hall-MHD system
• Well-posedness for Hall-magnetohydrodynamics
• Functional analysis, Sobolev spaces and partial differential equations
• Global well-posedness for the 3D incompressible Hall-magnetohydrodynamic equations with Fujita-Kato type initial data
• Well-posedness and long time behavior for the electron inertial Hall-MHD system in Besov and Kato-Herz spaces
• Global well-posedness for the incompressible Hall-magnetohydrodynamic system in critical Fourier-Besov spaces
• Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• Fourier Analysis and Nonlinear Partial Differential Equations
• NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO
• On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces

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