4 papers
Black p-brane Thermodynamics without Constructing Solutions
Bing-Yang Han, H. Lu
This paper generalizes the method used in the previous article 2512.09930 to black -brane thermodynamics in arbitrary dimensions containing black holes and strings as special ca…
Global nonlinear stability of the 2D incompressible viscous non-resistive MHD under sheared magnetic field
Yuan Cai, Bin Han, Na Zhao
We study the two-dimensional incompressible viscous non-resistive magnetohydrodynamics in the periodic strip , subject to a smooth sheared background magn…
On the energy method for the global solutions to the three dimensional incompressible non-resistive MHD near equilibrium
Yuan Cai, Bin Han, Na Zhao
We prove the global existence of the smooth solutions near equilibrium to the Cauchy problem of the incompressible non-resistive magnetohydrodynamic equations in the whole three di…
Global Regularity to the Navier-Stokes Equations for A Class of Large Initial Data
Yukang Chen, Bin Han, Zhen Lei
We prove that for initial data of the form \begin{equation}\nonumber u_0^ε(x) = (v_0^h(x_ε), ε^{-1}v_0^n(x_ε))^T,\quad x_ε= (x_h, εx_n)^T, n \geq 4, \end{equation} the Cauchy probl…