A Blow-Up Criterion for the Density-Dependent Incompressible Magnetohydrodynamic System with Zero Viscosity

Kunlong Shi, Jishan Fan () and Gen Nakamura
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Kunlong Shi: College of Sciences, Nanjing Forestry University, Nanjing 210037, China
Jishan Fan: Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
Gen Nakamura: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

Mathematics, 2024, vol. 12, issue 10, 1-8

Abstract: In this paper, we provide a blow-up criterion for the density-dependent incompressible magnetohydrodynamic system with zero viscosity. The proof uses the L p -method and the Kato–Ponce inequalities in the harmonic analysis. The novelty of our work lies in the fact that we deal with the case in which the resistivity η is positive.

Keywords: magnetohydrodynamic system; incompressible; blow-up criterion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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