Regularity and energy conservation for compressible isentropic magnetohydrodynamic equations

摘要

In this paper, we mainly study the local energy equation of the weak solutions of the compressible isentropic MHD equation defined on T-3. We prove that the regularity of the solution is sufficient to guarantee the balance of the total energy in the B-3(alpha,infinity)((0,T) x T-3) space. We adopt a variant of the method of Feireisl et al.