Large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer under slip boundary condition

Abulizi Aihaiti, Shota Enomoto, Yoshiyuki Kagei

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    This paper is concerned with large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer of 2 under slip boundary condition. It is shown that if the initial data is sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one-dimensional diffusion waves.

    Original languageEnglish
    Pages (from-to)2617-2649
    Number of pages33
    JournalMathematical Models and Methods in Applied Sciences
    Volume26
    Issue number14
    DOIs
    Publication statusPublished - Dec 30 2016

    All Science Journal Classification (ASJC) codes

    • Modelling and Simulation
    • Applied Mathematics

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