Existence and uniqueness of mild solutions to the magneto-hydro-dynamic equations

DOI10.1016/j.aml.2017.09.013zbMath1382.35238OpenAlexW2761612230MaRDI QIDQ1691026

Jianfeng Zhou, Zhong Tan, Wenpei Wu

Publication date: 12 January 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.09.013

zbMATH Keywords

self-similar solutionsasymptotic stabilitymild solutionsimplicit function theoremmagneto-hydro-dynamic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Generalized solutions to partial differential equations (35D99) Self-similar solutions to PDEs (35C06)

Related Items (4)

Existence and uniqueness of mild solutions to the chemotaxis-fluid system modeling coral fertilization ⋮ The MHD equations in the Lorentz space with time dependent external forces ⋮ Existence and uniqueness of mild solutions to the incompressible nematic liquid crystal flow ⋮ Global existence and decay estimate of solutions to magneto-micropolar fluid equations

Cites Work

• Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
• On the self-similar solutions of the magneto-hydro-dynamic equations
• Energy dissipation for weak solutions of incompressible MHD equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• On some new global existence results for 3D magnetohydrodynamic equations

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