The asymptotic behavior of solutions of the Burgers equation with initial value - boundary problem on a finite interval with periodic boundary conditions is studied. The equation describes a dissipative medium, so a constant initial profile will evolve to a travelling-wave solution. Its asymptotic limit is periodic ’sawtooth’ solution with periodical breaks of derivative, similar to the Fay solution on a half-line.


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    Title :

    Solutions to the burgers equation with periodic perturbations on boundary


    Contributors:


    Publication date :

    2016



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown




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