General Relativity Seminar

Speaker: Jin Jia, Hunan University

Title: Scattering Rigidity Problem

Abstract: If the asymptotic behavior of a solution to a nonlinear equation is the same as that of a solution to its linearized equation, it is called a scattering solution. Scattering phenomena are widely observed near steady-state solutions of various mathematical physics equations, such as water wave equations, Einstein equations, MHD equations, and Vlasov-Poisson equations. This report takes these equations as examples to provide the definition of scattering operator and its relation to radiation fields. It explains the concepts of scattering rigidity problem and scattering completeness problem, and introduces the latest discoveries of the speaker in the general solution approach to scattering rigidity problem.