Global small analytic solutions of MHD boundary layer equations

DOI10.1016/j.jde.2021.02.003zbMath1461.35183arXiv2006.11964OpenAlexW3126882612MaRDI QIDQ2656263

Yanyan Li

Publication date: 11 March 2021

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

Full work available at URL: https://arxiv.org/abs/2006.11964

zbMATH Keywords

Littlewood-Paley theoryanalytic energy estimateMHD Prandtl system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial-boundary value problems for PDEs of mixed type (35M13)

Related Items (12)

Global Well-Posedness of Solutions to 2D Prandtl-Hartmann Equations in Analytic Framework ⋮ BV entropy solutions of two-dimensional nonstationary Prandtl boundary layer system ⋮ On the role of the displacement current and the Cattaneo's law on boundary layers of plasma ⋮ The well posedness of solutions for the 2D magnetomicropolar boundary layer equations in an analytic framework ⋮ On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class ⋮ 3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space ⋮ Global small solutions of MHD boundary layer equations in Gevrey function space ⋮ Long time well-posedness of compressible magnetohydrodynamic boundary layer equations in Sobolev spaces ⋮ Global existence and the decay of solutions to the Prandtl system with small analytic data ⋮ Global solvability of 2D MHD boundary layer equations in analytic function spaces ⋮ Hydrostatic approximation of the 2D MHD system in a thin strip with a small analytic data ⋮ Global well-posedness of a Prandtl model from MHD in Gevrey function spaces

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