Asymptotic analysis for the eikonal equation with the dynamical boundary conditions

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

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    5 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

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)

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  • 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