Browsing by Author Baoying, Du

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  • Authors: Baoying, Du;  Advisor: -;  Co-Author: - (2023)

    In this paper, we investigate the 3D incompressible Hall-magnetohydrodynamics with partial dissipation. Based on the results in (Du in Bound. Value Probl. 2022:6, 2022; Du and Liu in Acta Math. Sci. 42A:5, 2022; Fei and Xiang in J. Math. Phys. 56:051504, 2015), we establish an improved blow-up criterion for classical solutions. Furthermore, using the blow-up criterion, we also obtain the existence of the classical solutions only under the condition that the initial data ∥V0∥H1+∥B0∥H2 are sufficiently small.1 Introduction