On the blow-up criterion of strong solutions for the MHD equations with the Hall and ion-slip effects in \({\mathbb{R}^{3}}\)

DOI10.1007/s00033-016-0617-3zbMath1342.35250OpenAlexW2330048567WikidataQ59469524 ScholiaQ59469524MaRDI QIDQ294051

Maria Alessandra Ragusa, Saddek Gala

Publication date: 9 June 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0617-3

zbMATH Keywords

Besov spacestrong solutionMHD equationsblow-up criterionmultiplier space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (13)

Global well-posedness and asymptotic behavior of solutions for the three-dimensional MHD equations with Hall and ion-slip effects ⋮ On the local existence of 3D magnetic Bénard system with Hall, ion-slip effects and zero thermal conductivity ⋮ Decay characterization of solutions to generalized Hall-MHD system in R3 ⋮ Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term ⋮ Global well-posedness and decay characterization of solutions to 3D MHD equations with Hall and ion-slip effects ⋮ A class of global large, smooth solutions for the magnetohydrodynamics with Hall and ion‐slip effects ⋮ On the well-posedness of magnetohydrodynamics system with Hall and ion-slip in critical spaces ⋮ An improved blow-up criterion for the magnetohydrodynamics with the Hall and ion-slip effects ⋮ Sign-changing solutions for Chern-Simons-Schrödinger equations with asymptotically 5-linear nonlinearity ⋮ On the local well-posedness of strong solutions to 3D MHD equations with Hall and ion-slip effects ⋮ Logarithmically improved regularity criterion for the 3D Hall-MHD equations ⋮ Space–time decay of solutions to three-dimensional MHD equations with Hall and ion-slip effects ⋮ Beale-Kato-Majda regularity criterion of smooth solutions for the Hall-MHD equations with zero viscosity

Cites Work

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• Singularity formation for the incompressible Hall-MHD equations without resistivity
• Regularity criteria for the incompressible Hall-magnetohydrodynamic equations
• Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
• On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects
• Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
• Well-posedness for Hall-magnetohydrodynamics
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• Uniqueness of M.H.D. thermodiffusive mixture flows with Hall and ion-slip effects
• On an initial-boundary value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects
• Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations
• Regularity criteria for the density-dependent Hall-magnetohydrodynamics
• Regularity criteria for the three-dimensional magnetohydrodynamic equations
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• Multipliers between Sobolev spaces and fractional differentiation
• On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
• On the temporal decay for the Hall-magnetohydrodynamic equations
• A new approach to energy theory in the stability of fluid motion
• A regularity criterion for the density-dependent magnetohydrodynamic equations

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