T-C Scheme for the Linearized Equations of the Viscous Conservation Laws around a Viscous Shock Profile.

碩士 === 國立臺灣師範大學 === 數學系 === 102 === Assume Fi is a viscous shock profile of the viscous hyperbolic conservation laws. We are concerned with the stability and the solution structure for the initial value problem of the viscous hyperbolic conservation laws around the viscous shock wave Fi. The T-C sch...

Full description

Bibliographic Details
Main Authors: Yi-Jan Ho, 賀逸然
Other Authors: Huey-Er Lin
Format: Others
Language:en_US
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/98544925877643125498
Description
Summary:碩士 === 國立臺灣師範大學 === 數學系 === 102 === Assume Fi is a viscous shock profile of the viscous hyperbolic conservation laws. We are concerned with the stability and the solution structure for the initial value problem of the viscous hyperbolic conservation laws around the viscous shock wave Fi. The T-C scheme is used to estimate the solution of the linearized equations around viscous shock profile Fi. The detail proofs for the transversal wave operator of the T-C scheme are given in this thesis.