Problems in Hamiltonian PDE’S

摘要: The purpose of this expose is to describe a line research and problems, which I believe, will not be by any means completed in the near future. As such, we certainly hope encourage further investigations. list topics field fairly extensive only few commented on here. Their choice was mainly dictated personal involvement. It should also mentioned that different groups researchers may have very styles aims. science, claims results range from pure experimentation rigorous mathematical proofs. Although my primary interest last aspect, no doubt numerics or heuristic argumentation equally interesting important. history Korteweg-de-Vries equation for instance striking example how problem evolve through these interacting stages eventually create beautiful theory. mathematician, feel however it essential one remains fully aware what not. Failure do so would result general confusion about nature statements great loss challenging mathematics.