学术活动

Global Strong Solutions to Magnetohydrodynamics with Density-Dependent Viscosity and Degenerate Heat-Conductivity - 施小丁 教授, 北京化工大学

作者:   来源:  时间:2019-09-03

题目:Global Strong Solutions to   Magnetohydrodynamics  with Density-Dependent Viscosity and Degenerate Heat-Conductivity

报告人:施小丁 教授, 北京化工大学

摘要:In this talk,  we deal with the equations of a planar magnetohydrodynamic compressible flow  with  the viscosity depending on the specific volume of the gas  and the heat conductivity  proportional to a positive power of  the temperature. Under the same   conditions   on  the  initial data  as those of the constant viscosity and   heat conductivity case ([Kazhikhov (1987)]), we obtain the global  existence and uniqueness of strong solutions which means   no shock wave, vacuum, or mass or heat concentration will be developed in finite time, although the motion of the flow has large oscillations and the  interaction between the hydrodynamic and magnetodynamic effects is complex. Our result can be regarded as a natural generalization of the Kazhikhov's theory  for the constant viscosity and heat conductivity case to that of nonlinear viscosity and  degenerate   heat-conductivity.
 

时间:9月3日下午4:00--5:00pm 

地点: 527教室