Search

Current filters:

Current filters:

Author

Subject

Date issued

Has File(s)

Search Results

Results 1-1 of 1 (Search time: 0.0 seconds).
  • <<
  • 1
  • >>
    • On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3
    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