Regularizing rate estimates for mild solutions of the incompressible magneto-hydrodynamic system

DOI10.3934/CPAA.2012.11.1643zbMath1278.35198OpenAlexW2324625616MaRDI QIDQ1948000

Qiao Liu, Shang-bin Cui

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1643

zbMATH Keywords

mild solutionmagneto-hydrodynamic systemregularizing ratespatial analyticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (7)

On analyticity rate estimates to the magneto-hydrodynamic equations in Besov-Morrey spaces ⋮ Existence and analyticity of mild solutions for the 3D rotating Navier-Stokes equations ⋮ Global smooth solutions of the 2D MHD equations for a class of large data without magnetic diffusion ⋮ Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces ⋮ Global existence and Gevrey regularity to the Navier-Stokes-Nernst-Planck-Poisson system in critical Besov-Morrey spaces ⋮ Space-time regularity for the three dimensional Navier-Stokes and MHD equations ⋮ Space-time regularity of the solutions to MHD equations with small rough data

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