2026-09-25T11:27:39Zhttps://repository.rice.edu/server/oai/request

oai:repository.rice.edu:1911/1035822024-01-11T20:57:04Zcom_1911_8299col_1911_13110

Symes, William W. Chen, Sichao 2018-12-03T18:31:36Z 2018-12-03T18:31:36Z 2008 Chen, Sichao. "Stability of one-dimensional waves in layered media." (2008) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103582">https://hdl.handle.net/1911/103582</a>. https://hdl.handle.net/1911/103582 304509515 THESIS MATH.SCI. 2008 CHEN 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. 35 pp eng 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. Geophysics Mathematics Pure sciences Earth sciences Stability of one-dimensional waves in layered media Thesis Text Mathematical Sciences Engineering Rice University Masters Master of Arts open.access