摘要
该文给出了三维不可压缩磁流体(MHD)方程组在带有负指数的非齐次Besov空间中的爆破准则.结果表明方程组的经典解存在时间有限当且仅当范数‖·‖_v_e趋于无穷,这里所定义的范数‖·‖v_e比非齐次Besov空间中的范数‖·‖_(B_(∞,∞)^(α-1))弱,其中0 <α<1.
In this paper, we study the blow-up criterion of smooth solutions to the threedimensional incompressible magnetohydrodynamic(MHD) equations in Besov space of negative regular index. We show that a smooth solution breaks down if and only if the certain norm of the velocity u blows up at the same time. Here the norm ‖·‖ve is defined in nonhomogenous Besov space and it is weaker than B∞,∞α-1-norm,for 0 <α< 1.
作者
尚朝阳
Shang Zhaoyang(School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2019年第1期67-80,共14页
Acta Mathematica Scientia
基金
国家自然科学基金(11571232
11611130024)~~
