Some properties of the transport equation

Abstract

This thesis aims to investigate transport equation First we study first quasi-linear equation and learn how to solve it The solution has a geometric interpretation and will be useful for next section Second We give the explicit solutions of Fokker-Planck equation by using the characteristic method and Fourier transformation Third we explore some properties of transport equation for example:L^p estimate Dispersion Regularity Extension ect

Date of Award	2017 Jun 23
Original language	English
Supervisor	Kung-Chien Wu (Supervisor)