TY - JOUR
T1 - Global Classical Solutions for One Dimensional Hydromagnetic Ow with Dissipative Terms
AU - Fagui Liu , Han Yang  & Chengshun Jiang 
JO - Journal of Partial Differential Equations
VL - 3
SP - 23
EP - 38
PY - 2002
DA - 2002/08
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5452.html
KW - Hydromagnetic flow
KW - Cauchy problem
KW - Classical solution
KW - Dissipative mechanism
KW - Singularity
AB -  This paper concerned with the classical solutions to system of one dimensional hydromagnetic dynamics with dissipative mechanism. Under certain hypotheses on the initial data, the global existence and the formation of singularities for classical solution are obtained. Our results show that the damping dissipation is strong enough to preserve the smoothness of the classical solution.