Stability of one-dimensional waves in layered media

This thesis presents an interpretation of a result on the stability of waves in layered media with respect to Webster's horn equation and travel-time velocity as a parameter The stability property of waves is related to the forward map. It is known that the forward map as a function of the vertical wave velocity is not locally Lipschitz continuous. This thesis describes a proof that the forward map as a function of the travel tine velocity is Lipschitz continuous, and even differentiable.

Name thesis:degree_name

Master of Arts

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Engineering

Grantor

Rice University

Year dc:date.issued

2008

Author dc:creator

• Chen, Sichao

Advisor dc:contributor.advisor

• Symes, William W.

• Geophysics
• Mathematics
• Pure sciences
• Earth sciences

Statement dc:rights

• Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1911/103582

OAI identifier oai:identifier

oai:repository.rice.edu:1911/103582