The Nonlinear Schr?dinger Limit and The Initial Layer of The Zakharov Equations

Abstract

We study the paper “The Nonlinear Schr?dinger Limit and The Initial Layer of The Zakharov Equations” by T Ozawa and Y Tsutsumi [18] in details and we elaborate the work in this report The formation of the convergence of solutions for Zakharov equations as the ion sound speed goes to infinity is discussed The decay rate of the solutions tending to the corresponding solutions for the nonlinear Schr?dinger equation is given and they explain how the initial layer phenomena occur A characterization is given of the relation between the convergence rate in and the formation of the initial layers We present the details which is skipped in the paper and put in this thesis we have revised some mistakes including typos in some formulas and in the proofs

Date of Award	2017 Sept 14
Original language	English
Supervisor	Yung-Fu Fang (Supervisor)