Convergence of hydrodynamical limits for generalized carleman models

Hironari Miyoshi, Masayoshi Tsutsumi

    研究成果: Article査読

    抄録

    We consider the initial-boundary value problem for a 2-speed system of first order semilinear hyperbolic equations. We establish the existence of global weak solutions in L1 by the theory of nonlinear contraction semigroups. Using the monotone method and the div-curl lemma, we investigate the hydrodynamical limits of the solutions of the hyperbolic systems and show that the limits verify the doubly nonlinear parabolic equations.

    本文言語English
    ページ(範囲)351-382
    ページ数32
    ジャーナルFunkcialaj Ekvacioj
    59
    3
    DOI
    出版ステータスPublished - 2016

    ASJC Scopus subject areas

    • Analysis
    • Algebra and Number Theory
    • Geometry and Topology

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