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- W4285242052 abstract "<abstract><p>We extend the spectral regularity criteria of the Prodi-Serrin kind for the Navier-Stokes equations in a torus to the MHD equations. More precisely, the following is established: for any $ N > 0 $, let $ {{boldsymbol x}}_{N} $ and $ {{boldsymbol y}}_{N} $ be the sum of all spectral components of the velocity and magnetic field whose wave numbers possess absolute value greater that $ N $; then, it is possible to show that for any $ N $ the finiteness of the Prodi-Serrin norm of $ {{boldsymbol x}}_{N} $ implies the regularity of the weak solution $ ({{boldsymbol u}}, {{boldsymbol h}}) $; thus, no restriction on the magnetic field is needed.</p></abstract>" @default.
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- W4285242052 date "2022-01-01" @default.
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- W4285242052 title "Regularity criteria for 3D MHD flows in terms of spectral components" @default.
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- W4285242052 doi "https://doi.org/10.3934/era.2022164" @default.
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