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Global Weak Solutions for a Two-phase Flows of Incompressible Shear-Thinning Fluid-Rigid Body System
澳门新葡8455最新网站:2016年10月31日 14:04 点击数:

报告人:施小丁

报告地点:澳门新葡8455最新网站515室

报告澳门新葡8455最新网站:2016年11月06日星期日16:00-17:00

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报告摘要:

In this talk, we consider a model of a binary mixture of compressible viscous and macroscopically immiscible fluids, based on the diffuse interface approximation,which we called it as the Navier-Stokes-Cahn-Hilliard system. This system has strong nonlinear, degenerative and singularity. We will mainly study the generalized Navier boundary value problem for 3D barotropoic incompressible Navier-Stokes-Cahn-Hilliard system with several rigid bodies. The global existence of weak solutions is proved for the problem of the motion of  several rigid bodies immersed in two immiscible incompressible shear-thinning non-Newtonian viscous fluid.  The viscosity depends on  the shear rate and the concentration of the fluids.  The Navier-Stokes-Cahn-Hilliard system with the Generalized Navier oundary Conditions is considered. The fictitious domain method and the pressure localization method are  used.

主讲人概况:

施小丁,北京化工大学数学教授,日本数学博士后,国家自然科学基金面上项目主持人,国际知名偏微分方程专家。

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