主讲人：Prof. Jiahong Wu, Oklahoma State University, USA
时间及地点：2019. 5. 31, 上午9:00—11:30, 后主楼1223;
2019. 6. 1, 下午14:30—17:00, 后主楼1220；
2019. 6. 2, 下午14:30—17:00, 后主楼1220；
2019. 6. 4, 上午 9:00—11:30, 后主楼1124；
2019. 6. 5, 上午 9:00—11:30, 后主楼1124；
2019. 6. 6, 上午 9:00—11:30, 后主楼1124.
Title: Topics in Mathematical Fluid Mechanics
Abstract: This lecture series covers several research topics in mathematical fluid mechanics. The first one is on the stability and large-time behavior problem on the Oldroyd-B model for the viscoelastic flows. Various partial dissipation will be considered. The second topic aims at the large-time behavior problem on the Navier-Stokes equations with only partial dissipation. This problem is not well-understood. Physically relevant explicit solutions with various large-time behavior will be present. The third topic covers the stability problem on the magneto-hydrodynamic equations with anisotropic regularization.
Lecture I: Introduction and summary of results on the Oldroyd-B model
Lecture II: The Oldroyd-B model with diffusion in the equation of stress tensor
Lecture III: The Oldroyd-B model with velocity dissipation
Lecture IV: Explicit solutions of the Navier-Stokes equations with partial dissipation
Lecture V: Explicit solutions of the magneto-hydrodynamic equations with partial dissipation
Lecture VI: Stability problem on the magneto-hydrodynamic equations with anisotropic regularization
