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

  • 馬 偉智

Student thesis: Master's Thesis

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 Award2017 Sep 14
Original languageEnglish
SupervisorYung-Fu Fang (Supervisor)

Cite this

The Nonlinear Schr?dinger Limit and The Initial Layer of The Zakharov Equations
偉智, 馬. (Author). 2017 Sep 14

Student thesis: Master's Thesis