• Login
    View Item 
    •   Home
    • UA Faculty Research
    • UA Faculty Publications
    • View Item
    •   Home
    • UA Faculty Research
    • UA Faculty Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UA Campus RepositoryCommunitiesTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournal

    My Account

    LoginRegister

    About

    AboutUA Faculty PublicationsUA DissertationsUA Master's ThesesUA Honors ThesesUA PressUA YearbooksUA CatalogsUA Libraries

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Norm inflation for the Boussinesq system

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Norm inflation.pdf
    Size:
    205.1Kb
    Format:
    PDF
    Description:
    Final Accepted Manuscript
    Download
    Author
    Li, Zongyuan
    Wang, Weinan
    Affiliation
    Department of Mathematics, University of Arizona
    Issue Date
    2021-10
    Keywords
    Boussinesq system
    Ill-posedness
    Negative order besov spaces
    Norm inflation
    Plane waves
    
    Metadata
    Show full item record
    Publisher
    American Institute of Mathematical Sciences (AIMS)
    Citation
    Li, Z., & Wang, W. (2021). Norm inflation for the boussinesq system. Discrete and Continuous Dynamical Systems - Series B, 26(10), 5449–5463.
    Journal
    Discrete and Continuous Dynamical Systems - Series B
    Rights
    © 2021 American Institute of Mathematical Sciences. All rights reserved.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    We prove the norm inflation phenomena for the Boussinesq system on T3. For arbitrarily small initial data (u0,ρ0) in the negative-order Besov spaces B˙−1∞,∞×B˙−1∞,∞, the solution can become arbitrarily large in a short time. Such largeness can be detected in ρ in Besov spaces of any negative order: B˙−s∞,∞ for any s>0.
    Note
    12 month embargo; published 01 October 2021
    ISSN
    1553-524X
    DOI
    10.3934/dcdsb.2020353
    Version
    Final accepted manuscript
    ae974a485f413a2113503eed53cd6c53
    10.3934/dcdsb.2020353
    Scopus Count
    Collections
    UA Faculty Publications

    entitlement

     
    The University of Arizona Libraries | 1510 E. University Blvd. | Tucson, AZ 85721-0055
    Tel 520-621-6442 | repository@u.library.arizona.edu
    DSpace software copyright © 2002-2017  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service operated 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.

    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.