The \(L^1\)-asymptotic behavior of strong solutions to the incompressible magneto-hydrodynamic equations in half-spaces

DOI10.1016/j.aml.2023.108966OpenAlexW4389766723MaRDI QIDQ6202739

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Publication date: 27 February 2024

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108966

zbMATH Keywords

strong solutionslarge-time behaviorMHD equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Stokes and related (Oseen, etc.) flows (76D07) Magnetohydrodynamics and electrohydrodynamics (76W05) Fractional partial differential equations (35R11) Strong solutions to PDEs (35D35)

Cites Work

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• Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space
• Decay properties of solutions to the non-stationary magneto-hydrodynamic equations in half spaces
• Long time \(L^{1}\)-behavior for the incompressible magneto-hydrodynamic equations in a half-space
• Large time behavior for the nonstationary Navier-Stokes flows in the half-space
• \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
• Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
• Decay results of the nonstationary Navier-Stokes flows in half-spaces
• Asymptotic behavior of solutions to the nonstationary magneto-hydrodynamic equations
• Long-time behavior for the nonstationary Navier-Stokes flows in \(L^1(\mathbb R_+^n)\)
• Inéquations en thermoélasticité et magnétohydrodynamique
• Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space
• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• Weighted spatial decay rates for the Navier–Stokes flows in a half-space
• Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces

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