Asymptotic analysis for the eikonal equation with the dynamical boundary conditions

Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M M Younas

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    We study the dynamical boundary value problem for Hamilton-Jacobi equations of the eikonal type with a small parameter. We establish two results concerning the asymptotic behavior of solutions of the Hamilton-Jacobi equations: one concerns with the convergence of solutions as the parameter goes to zero and the other with the large-time asymptotics of solutions of the limit equation.

    Original languageEnglish
    Pages (from-to)1563-1588
    Number of pages26
    JournalMathematische Nachrichten
    Volume287
    Issue number14-15
    DOIs
    Publication statusPublished - 2014 Oct 1

    Fingerprint

    Dynamical Boundary Conditions
    Eikonal Equation
    Hamilton-Jacobi Equation
    Asymptotic Analysis
    Large Time Asymptotics
    Convergence of Solutions
    Asymptotics of Solutions
    Asymptotic Behavior of Solutions
    Small Parameter
    Boundary Value Problem
    Zero

    Keywords

    • Asymptotic behavior
    • Dynamical boundary conditions
    • Eikonal equations
    • Hamilton-Jacobi equations

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Al-Aidarous, E. S., Alzahrani, E. O., Ishii, H., & Younas, A. M. M. (2014). Asymptotic analysis for the eikonal equation with the dynamical boundary conditions. Mathematische Nachrichten, 287(14-15), 1563-1588. https://doi.org/10.1002/mana.201300224

    Asymptotic analysis for the eikonal equation with the dynamical boundary conditions. / Al-Aidarous, Eman S.; Alzahrani, Ebraheem O.; Ishii, Hitoshi; Younas, Arshad M M.

    In: Mathematische Nachrichten, Vol. 287, No. 14-15, 01.10.2014, p. 1563-1588.

    Research output: Contribution to journalArticle

    Al-Aidarous, ES, Alzahrani, EO, Ishii, H & Younas, AMM 2014, 'Asymptotic analysis for the eikonal equation with the dynamical boundary conditions', Mathematische Nachrichten, vol. 287, no. 14-15, pp. 1563-1588. https://doi.org/10.1002/mana.201300224
    Al-Aidarous, Eman S. ; Alzahrani, Ebraheem O. ; Ishii, Hitoshi ; Younas, Arshad M M. / Asymptotic analysis for the eikonal equation with the dynamical boundary conditions. In: Mathematische Nachrichten. 2014 ; Vol. 287, No. 14-15. pp. 1563-1588.
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