• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • 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 LibguidePlumX LibguideSubmit an Item

    Statistics

    Display statistics

    Shock dynamics in layered periodic media

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    CMS-2012-0010-0003-a007.pdf
    Size:
    639.9Kb
    Format:
    PDF
    Description:
    Article - Full Text
    Download
    Type
    Article
    Authors
    Ketcheson, David I. cc
    Leveque, Randall J.
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Numerical Mathematics Group
    Date
    2012
    Preprint Posting Date
    2011-05-14
    Permanent link to this record
    http://hdl.handle.net/10754/333598
    
    Metadata
    Show full item record
    Abstract
    Solutions of constant-coeffcient nonlinear hyperbolic PDEs generically develop shocks, even if the initial data is smooth. Solutions of hyperbolic PDEs with variable coeffcients can behave very differently. We investigate formation and stability of shock waves in a one-dimensional periodic layered medium by a computational study of time-reversibility and entropy evolution. We find that periodic layered media tend to inhibit shock formation. For small initial conditions and large impedance variation, no shock formation is detected even after times much greater than the time of shock formation in a homogeneous medium. Furthermore, weak shocks are observed to be dynamically unstable in the sense that they do not lead to significant long-term entropy decay. We propose a characteristic condition for admissibility of shocks in heterogeneous media that generalizes the classical Lax entropy condition and accurately predicts the formation or absence of shocks in these media.
    Citation
    Shock dynamics in layered periodic media 2012, 10 (3):859 Communications in Mathematical Sciences
    Publisher
    International Press of Boston
    Journal
    Communications in Mathematical Sciences
    DOI
    10.4310/CMS.2012.v10.n3.a7
    arXiv
    1105.2892
    Additional Links
    http://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0010/0003/a007/
    http://arxiv.org/abs/1105.2892
    ae974a485f413a2113503eed53cd6c53
    10.4310/CMS.2012.v10.n3.a7
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2021  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    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.