Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations

DOI10.1016/j.jmaa.2006.06.039zbMath1185.35201OpenAlexW2006279392MaRDI QIDQ868783

Kai-Tai Li, Yong-Jiang Yu

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.039

zbMATH Keywords

weak solutionstrong solutionMHD equationsNavier--Stokes equationsMHD-Leray-alpha equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

The global well-posedness for the 2D Leray-\(\alpha\) MHD equations with zero magnetic diffusivity, The global existence and analyticity of a mild solution to the 3D regularized MHD equations, Continuous data assimilation algorithm for simplified Bardina model, On the Leray-deconvolution model for the incompressible magnetohydrodynamics equations, On the well-posedness and conservation laws of a family of multiscale deconvolution models for the magnetohydrodynamics equations, On the generalized Magnetohydrodynamics-\(\alpha\) equations with fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces, Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model

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