{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/103582"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/103582","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"Stability of one-dimensional waves in layered media","abstract":"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. 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This thesis describes a proof that the forward map as a function of the travel tine velocity is Lipschitz continuous, and even differentiable.","abstract_has_math":false,"creators":["Chen, Sichao"],"institution":"Rice University","degree_name":"Master of Arts","degree_level":"Masters","degree_discipline":"Engineering","degree_department":null,"school":null,"contributors":[],"advisors":["Symes, William W."],"committee_chairs":[],"committee_members":[],"year":2008,"date_issued":"2008","date_published":"2008","updated_at":"2026-07-24T04:10:21Z","subjects":["Geophysics","Mathematics","Pure sciences","Earth sciences"],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. 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This thesis describes a proof that the forward map as a function of the travel tine velocity is Lipschitz continuous, and even differentiable."]},{"key":"dc:title","label":"Title","values":["Stability of one-dimensional waves in layered media"]}]}],"canonical_facts":{"dc:contributor.advisor":["Symes, William W."],"dc:creator":["Chen, Sichao"],"dc:date.accessioned":["2018-12-03T18:31:36Z"],"dc:date.available":["2018-12-03T18:31:36Z"],"dc:date.issued":["2008"],"dc:description.abstract":["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. 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