On an initial-boundary value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects

DOI10.1007/BF02355589zbMath0927.76100MaRDI QIDQ1376821

Giuseppe Mulone, Vsevolod A. Solonnikov

Publication date: 10 February 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

existence theoremanisotropic Sobolev spacesbounded container with ideal conducting surfacetheory of general parabolic initial-boundary value problemsviscous incompressible conducting liquids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (11)

On the blow-up criterion of strong solutions for the MHD equations with the Hall and ion-slip effects in \({\mathbb{R}^{3}}\) ⋮ Global well-posedness and asymptotic behavior of solutions for the three-dimensional MHD equations with Hall and ion-slip effects ⋮ 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 ⋮ An improved blow-up criterion for the magnetohydrodynamics with the Hall and ion-slip effects ⋮ A new boundary condition for the Hall-magnetohydrodynamics equation with the ion-slip effect ⋮ On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects ⋮ On the nonlinear stability in anisotropic MHD with application to Couette-Poiseuille flows ⋮ On the well-posedness of the Hall-magnetohydrodynamics with the ion-slip effect ⋮ On the local well-posedness of strong solutions to 3D MHD equations with Hall and ion-slip effects ⋮ Space–time decay of solutions to three-dimensional MHD equations with Hall and ion-slip effects

Cites Work

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• Electrical anisotropic effects on thermal instability
• On the linear stability of a toroidal plasma with resistivity, viscosity and Hall current
• Linearization principle for a toroidal Hall current plasma with viscosity and resistivity
• Uniqueness of M.H.D. thermodiffusive mixture flows with Hall and ion-slip effects
• Sulla stabilita magnetofluidodinamica non lineare asintotica in media in presenza di effetto Hall
• A new approach to energy theory in the stability of fluid motion

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