Abstract
AbstractIn 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 $\|V_{0}\|_{H^{1}}+\|B_{0}\|_{H^{2}}$
∥
V
0
∥
H
1
+
∥
B
0
∥
H
2
are sufficiently small.
Funder
High-level Talent "Sailing" Project of Yibin University
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis