TY - JOUR

T1 - Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect

AU - Kawashima, Shuichi

AU - Nakasato, Ryosuke

AU - Ogawa, Takayoshi

N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.

PY - 2022/8/1

Y1 - 2022/8/1

N2 - 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].

AB - 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].

KW - Hall effect

KW - Magnetohydrodynamic systems

KW - convex entropy

KW - decay property

KW - dissipative structure

KW - hyperbolic-parabolic systems

UR - http://www.scopus.com/inward/record.url?scp=85136161582&partnerID=8YFLogxK

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U2 - 10.1142/S0218202522500427

DO - 10.1142/S0218202522500427

M3 - Article

AN - SCOPUS:85136161582

SN - 0218-2025

VL - 32

SP - 1807

EP - 1878

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 9

ER -