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

作者：Yang, Yong-Fu^*; Dou, Changsheng; Ju, Qiangchang

来源：Nonlinear Analysis-Theory Methods & Applications, 2013, 85: 23-30.

DOI：10.1016/j.na.2013.02.015

• Three-dimensional magnetohydrodynamics (MHD) equations
• Compressible flows
• Relative entropy
• Weak-strong uniqueness

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 gamma > 1 and constant viscosity coefficients, under the assumption that weak solutions exist.

• 出版日期2013-7
• 单位河海大学; 北京应用物理与计算数学研究所