The research direction is PDE problem and random matrix in fluid mechanics. His fluid stability direction belongs to the difficult and high-tech problems in PDE and even the whole mathematics, and it is the core problem in PDE and even the whole mathematics research. Wei Dongyi is already a rising star of Ran Ran in the field of international fluid, and basically everyone who does fluid knows a little about his work. In addition, he also developed the pre-solution estimation method and wave operator method, which solved a series of important open problems in the mathematical theory of flow stability.