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Global Strong Solutions to Magnetohydrodynamics with Density-Dependent Viscosity and Degenerate Heat-Conductivity
澳门新葡8455最新网站:2019年08月05日 19:18 点击数:

报告人:施小丁

报告地点:综合楼313教室

报告澳门新葡8455最新网站:2019年08月06日星期二10:30-11:30

邀请人:张凯军

报告摘要:

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.


主讲人概况:

施小丁,北京化工大学教授,著名偏微分方程专家,东北师范大学大应用数学实验室学术委员会委员。

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