題 目：Global uniform regularity for the 3D incompressible MHD equations with slip boundary condition near an equilibrium
内容簡介：This paper solves the global conormal regularity problem for the three-dimensional incompressible MHD equations with slip boundary condition near a background magnetic field. Motivated by applications in geophysics, the MHD system considered here is anisotropic with small vertical dissipation and small horizontal magnetic diffusion. By exploiting the enhanced dissipation due to the background magnetic field and introducing three layers of energy functionals, we are able to establish global-in-time uniform bounds that are independent of vertical viscosity and horizontal resistivity. These global conormal regularity estimates allow us to pass to the limit and obtain the convergence to the MHD system with no vertical dissipation and horizontal magnetic diffusion. In the special case of the 3D incompressible Navier-Stokes, explicit long-time rates are also extracted in the zero vertical viscosity limit.
報告人：高金城
報告人簡介：中山大學博士研究生導師（逸仙學者），獲得科技部重點研發青年科學家項目和廣東特支計劃青年拔尖人才項目等資助，主要從而流體力學相關方程的理論與應用研究，在時間衰減估計、适定性和粘性消失極限方程取得了一些好的成果。
地 點：騰訊會議：673-333-532
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