Abstract
This article studies the blow-up of smooth solutions to the isentropic compressible magnetohydrodynamic (MHD) equations (Equation1.1(1) ) in , . We obtain that under physical conditions, if the initial density and magnetic have compact support, then any smooth radially symmetric solutions will blow up in finite time.
Acknowledgments
The research was partially supported by the National Natural Science Foundation of China (No.11071057, No.11271052) and Tian Yuan Special Foundation ( No. 11226029). The authors would like to thank Prof. C. Miao and Prof. Q. Chen for their valuable discussions.