Xinwei Yu

We introduce a 2x2 nonlinear nonlocal system. On the one hand, it models possible blow-up mechanism in the 3D Euler equations; On the other hand, it can be seen as a further step in the recent progress in understanding the role of nonlocal operators...

In this talk I will discuss some recent analytical and numerical results regarding global regularity for the 2D incompressible magnetohydrodynamics equations with partial dissipation, that is when the dissipation term is only present in either the...

Ferrohydrodynamics describes the dynamics of ferrofluids -- colloids with nano-sized magnetic particles. Since its discovery in the 1960s, such fluids have found many applications in science and engineering. On the other hand, the physical modeling...