The structure of shock waves in an asymptotic magnetohydrodynamics system.

Persistent Link:
http://hdl.handle.net/10150/186343
Title:
The structure of shock waves in an asymptotic magnetohydrodynamics system.
Author:
Cheng, Yi-fen.
Issue Date:
1993
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
We study an asymptotic MHD model system. In particular, we show its proximity to MHD system by studying the fundamental properties of MHD system in our model system. We prove the existence and boundness of the structures of intermediate shock waves in the planar model system and in the non-planar model system, respectively. We also extend the Liu's theorem on the nonlinear instability of the travelling wave solutions of the Derivative Schroedinger equation to our more general model.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Fluid mechanics.; Mathematics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Brio, Moysey

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleThe structure of shock waves in an asymptotic magnetohydrodynamics system.en_US
dc.creatorCheng, Yi-fen.en_US
dc.contributor.authorCheng, Yi-fen.en_US
dc.date.issued1993en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractWe study an asymptotic MHD model system. In particular, we show its proximity to MHD system by studying the fundamental properties of MHD system in our model system. We prove the existence and boundness of the structures of intermediate shock waves in the planar model system and in the non-planar model system, respectively. We also extend the Liu's theorem on the nonlinear instability of the travelling wave solutions of the Derivative Schroedinger equation to our more general model.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectFluid mechanics.en_US
dc.subjectMathematics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairBrio, Moyseyen_US
dc.contributor.committeememberCushing, Jimen_US
dc.contributor.committeememberLomont, Johnen_US
dc.identifier.proquest9408378en_US
dc.identifier.oclc720351796en_US
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