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• W2962339501 abstract "We study the singularity formation of strong solutions to the three-dimensional full compressible magnetohydrodynamic equations with zero heat conduction in a bounded domain. We show that for the initial density allowing vacuum, the strong solution exists globally if the density $rho$, the magnetic field $mathbf{b}$, and the pressure $P$ satisfy $|rho|_{L^{infty}(0,T;L^{infty})} + |mathbf{b}|_{L^{infty}(0,T;L^6)} + |P|_{L^{infty}(0,T;L^{infty})} lt infty$ and the coefficients of viscosity verity $3mu gt lambda$. This extends the corresponding results in Duan (2017), Fan et al. (2018) [1,2] where a blow-up criterion in terms of the upper bounds of the density, the magnetic field and the temperature was obtained under the condition $2mu gt lambda$. Our proof relies on some delicate energy estimates." @default.
• W2962339501 created "2019-07-23" @default.
• W2962339501 creator A5004127944 @default.
• W2962339501 date "2020-06-01" @default.
• W2962339501 modified "2023-09-24" @default.
• W2962339501 title "Singularity Formation of the Non-barotropic Compressible Magnetohydrodynamic Equations Without Heat Conductivity" @default.
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• W2962339501 doi "https://doi.org/10.11650/tjm/190701" @default.
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