Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect

Shuichi Kawashima, Ryosuke Nakasato*, Takayoshi Ogawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with the mathematical modeling of electro-magneto-hydrodynamics and magnetohydrodynamics by taking account of the Hall effect. We discuss conservation laws, strict convexity of the negative entropy as a function of conserved quantities, and the associated energy form. Moreover, we investigate the dissipative structure and decay properties of the linearized systems as applications of the general theory developed in Umeda et al. [On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics, Japan J. Appl. Math. 1 (1984) 435-457] and Shizuta and Kawashima [Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation, Hokkaido Math. J. 14 (1985) 249-275].

Original languageEnglish
JournalMathematical Models and Methods in Applied Sciences
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • convex entropy
  • decay property
  • dissipative structure
  • Hall effect
  • hyperbolic-parabolic systems
  • Magnetohydrodynamic systems

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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