An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces

作者：Wang Bo^*; Chen Min

来源：Boundary Value Problems, 2015, 2015(1): 66.

DOI：10.1186/s13661-015-0330-8

• MHD equations
• pressure regularity criteria
• critical Besov spaces

This paper is concerned with an improved pressure regularity criterion of the three-dimensional (3D) magnetohydrodynamic (MHD) equations in the largest critical Besov spaces. Based on the Littlewood-Paley decomposition technique, the weak solutions are proved to be smooth if the pressure lies in the largest critical Besov spaces, pi(x, t) is an element of L-p(0, T; (B) over dot(q,r)(0) (R-3)) for 2/p + 3/q = 2, 1 <= r <= 2q/3, 3/2 < q <= infinity.

• 出版日期2015-4-23
• 单位湖北科技学院