In this paper, we consider the two-dimensional incompressible Navier-Stokes-Landau-Lifshitz system. The first result is the classical Serrin-type blow-up criterion for Navier-Stokes-Landau-Lifshitz system whose index is the same as Navier-Stokes equation. More generally, we establish the blow-up criterion in the homogenous Besov space with the negative index whose form is analogue to Serrin-type. As a result, the blow-up criterion in BMO space with respect to spatial variable is also attained. These results can be regarded as the extension of the recent work [Math. Methods Appl. Sci. 46, (2023), 2500-2516].
Zhen QIU
,
Guangwu WANG
. SERRIN-TYPE BLOW-UP CRITERIA FOR 2D INCOMPRESSIBLE NAVIER-STOKES-LANDAU-LIFSHITZ SYSTEM[J]. Acta mathematica scientia, Series B, 2025
, 45(3)
: 1063
-1077
.
DOI: 10.1007/s10473-025-0317-1
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