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Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation

Author

Listed:
  • Yasunori Maekawa

    (Department of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan)

  • Yoshihiro Ueda

    (Faculty of Maritime Sciences, Kobe University, 5-1-1 Fukaeminami-machi, Higashinada-ku, Kobe 658-0022, Japan)

Abstract

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.

Suggested Citation

  • Yasunori Maekawa & Yoshihiro Ueda, 2021. "Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation," Mathematics, MDPI, vol. 9(7), pages 1-34, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:728-:d:525578
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    References listed on IDEAS

    as
    1. Пигнастый, Олег & Koжевников, Георгий, 2019. "Распределенная Динамическая Pde-Модель Программного Управления Загрузкой Технологического Оборудования Производственной Линии [Distributed dynamic PDE-model of a program control by utilization of t," MPRA Paper 93278, University Library of Munich, Germany, revised 02 Feb 2019.
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