Speaker: Xianpeng Hu
Abstract. Understanding the incompressible fluid is a fundamental, but challenging, project not only in numerical analysis, but also in theoretical analysis, especially when extra effects, such as the elastic deformation or the magnetic field, interact with the flow. In this talk, the incompressible fluid and its associated flow map will be reviewed first. The main object of this talk devotes to a recent breakthrough in the understanding of solutions of incompressible magnetohydrodynamic fluids with zero magnetic diffusivity (which is equivalent to infinite conductivity). This is a joint work with F. Lin.