Open AccessOn weak (measure-valued)-strong uniqueness for compressible MHD system with non-monotone pressure law
Author(s) -
Yu Liu,
Ting Zhang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021307
Subject(s) - uniqueness , monotone polygon , dissipative system , measure (data warehouse) , magnetohydrodynamics , compressibility , mathematics , second law of thermodynamics , weak solution , mathematical analysis , physics , magnetic field , geometry , quantum mechanics , thermodynamics , computer science , database
In this paper, we define a renormalized dissipative measure-valued (rDMV) solution of the compressible magnetohydrodynamics (MHD) equations with non-monotone pressure law. We prove the existence of the rDMV solutions and establish a suitable relative energy inequality. And we obtain the weak (measure-valued)-strong uniqueness property of this rDMV solution with the help of the relative energy inequality.