活动时间：2023-06-19 14:50

活动地点：腾讯会议 999726862

主讲人：姚磊

主讲人中文简介：

姚磊，西北工业大学教授，博士生导师，2010年在华中师范大学获理学博士学位；曾获全国百篇优秀博士学位论文奖、陕西省杰出青年科学基金、陕西省青年科技新星。主要从事流体力学中的偏微分方程数学理论的研究，在 Math. Ann.、JMPA、AIHP、SIAM、JDE等国际刊物发表学术论文30余篇。

活动内容摘要：

We are concerned with stability and instability of the steady state  for a generic non--conservative compressible two--fluid model in .  Under the assumption that the initial fraction densities are close to the constant state  in  and the initial velocities are small in  with  it is shown that  is the critical value of  on the stability of the model in question. More precisely, when  the steady state  is nonlinearly globally stable; and conversely, the steady state  is nonlinearly unstable in the sense of Hadamard when  Furthermore, for the critical case  if the initial data satisfy additional regularity assumption, then the steady state  is nonlinearly globally stable.

主持人：杜玲珑