On the existence of \(L^{p}\) solutions of the magnetohydrodynamic equations in a bounded domain

DOI10.1016/S0362-546X(03)00132-9zbMath1025.35021MaRDI QIDQ1400284

Takahiro Akiyama

Publication date: 13 August 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

global solutionsmagnetohydrodynamic equationsparabolic type Maxwell equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

Stability of two‐dimensional magnetohydrodynamic motions in the periodic case, Regularity criteria of the magnetohydrodynamic equations in bounded domains or a half space, Large time existence of special strong solutions to MHD equations in cylindrical domains

Cites Work

• Über ein Rand-Anfangswertproblem der Magnetohydrodynamik
• Some mathematical questions related to the mhd equations
• On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition
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