LOCAL ILL-POSEDNESS AND THE ENERGY CONVERGENCE OF ZAKHAROV SYSTEM

  • 方 冠智

Student thesis: Master's Thesis

Abstract

In this thesis we consider the classical Zakharov system We study the illposedness of the system in 1D and the adiabatic limit at the energy level of the system in 3D We investigate the work of Ginibre Tsutsumi Velo [7] and of Holmer [8] for the ill-posedness problem of the system We elaborate their works in details For the energy convergence of the Zakharov system to the cubic nonlinear Schrodinger equation we study the work of Masmoudi and Nakanishi [10] We also elaborate their work in details
Date of Award2016 Jul 6
Original languageEnglish
SupervisorYung-Fu Fang (Supervisor)

Cite this

LOCAL ILL-POSEDNESS AND THE ENERGY CONVERGENCE OF ZAKHAROV SYSTEM
冠智, 方. (Author). 2016 Jul 6

Student thesis: Master's Thesis