• Login
    View Item 
    •   Home
    • Theses and Dissertations
    • MS Theses
    • View Item
    •   Home
    • Theses and Dissertations
    • MS Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    thesis_manuel quezada de luna_101768.pdf
    Size:
    1.295Mb
    Format:
    PDF
    Download
    Type
    Thesis
    Authors
    Luna, Manuel
    Advisors
    Ketcheson, David I. cc
    Committee members
    Kasimov, Aslan R. cc
    Turkiyyah, George
    Program
    Applied Mathematics and Computational Science
    KAUST Department
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Date
    2011-05
    Permanent link to this record
    http://hdl.handle.net/10754/209415
    
    Metadata
    Show full item record
    Abstract
    Solitary wave formation is a well studied nonlinear phenomenon arising in propagation of dispersive nonlinear waves under suitable conditions. In non-homogeneous materials, dispersion may happen due to effective reflections between the material interfaces. This dispersion has been used along with nonlinearities to find solitary wave formation using the one-dimensional p-system. These solitary waves are called stegotons. The main goal in this work is to find two-dimensional stegoton formation. To do so we consider the nonlinear two-dimensional p-system with variable coefficients and solve it using finite volume methods. The second goal is to obtain effective equations that describe the macroscopic behavior of the variable coefficient system by a constant coefficient one. This is done through a homogenization process based on multiple-scale asymptotic expansions. We compare the solution of the effective equations with the finite volume results and find a good agreement. Finally, we study some stability properties of the homogenized equations and find they and one-dimensional versions of them are unstable in general.
    Citation
    Luna, M. (2011). Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media. KAUST Research Repository. https://doi.org/10.25781/KAUST-51374
    DOI
    10.25781/KAUST-51374
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-51374
    Scopus Count
    Collections
    Applied Mathematics and Computational Science Program; MS Theses; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2022  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.