Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

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

    Anisotropic Burgers equation with an anisotropic perturbation

    Access Status
    Fulltext not available
    Authors
    Li, Ping
    Date
    2011
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Li, P. 2011. Anisotropic Burgers equation with an anisotropic perturbation. Communications in Nonlinear Science and Numerical Simulation. 16 (2): pp. 673-689.
    Source Title
    Communications in Nonlinear Science and Numerical Simulation
    DOI
    10.1016/j.cnsns.2010.04.028
    ISSN
    1007-5704
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/27073
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we propose an anisotropic Burgers equation with an anisotropic perturbation, which governs many nonlinear dynamic processes in an anisotropic diffusive (viscous) medium. Using conventional transformation methods, we find the analytical solution for the initial-value problem of the Burgers equation in a 2D anisotropic space. Based on the new development of the 2D Laplace's theorem, we obtain the spatial asymptotic solution as the elements and determinant of the diffusive tensor approach zero. Finally, we also derive the temporal asymptotic solution as time goes to infinity for the 2D anisotropic Burgers system.

    Related items

    Showing items related by title, author, creator and subject.

    • Structure, Energetics, and Dynamics of Screw Dislocations in Even n-Alkane Crystals
      Olson, I.; Shtukenberg, A.; Hakobyan, G.; Rohl, Andrew; Raiteri, Paolo; Ward, M.; Kahr, B. (2016)
      Spiral hillocks on n-alkane crystal surfaces were observed immediately after Frank recognized the importance of screw dislocations for crystal growth, yet their structures and energies in molecular crystals remain ...
    • Analysis of fluid substitution in a porous and fractured medium
      Sil, S.; Sen, M.; Gurevich, Boris (2011)
      To improve quantitative interpretation of seismic data, we analyze the effect of fluid substitution in a porous and fractured medium on elastic properties and reflection coefficients. This analysis uses closed-form ...
    • A modified empirical criterion for strength of transversely anisotropic rocks with metamorphic origin
      Saeidi, Omid; Vaneghi, Rashid; Rasouli, Vamegh; Gholami, Raoof (2013)
      A modified empirical criterion is proposed to determine the strength of transversely anisotropic rocks. In this regard, mechanical properties of intact anisotropic slate obtained from three different districts of Iran ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.