Weak–strong uniqueness property for the magnetohydrodynamic equations of three-dimensional compressible isentropic flows

By means of the concept of relative entropy, we establish the weak–strong uniqueness property in the class of finite-energy weak solutions to the magnetohydrodynamic equations of three-dimensional compressible isentropic flows with the adiabatic exponent γ>1γ>1 and constant viscosity coefficients, under the assumption that weak solutions exist.