报告题目:Global regularity results of the 2D fractionalBoussinesq equations

报告人:许孝精 教授

报告时间:2025年4月11日(周五)10:00-12:00

报告地点:腾讯会议 854-417-280

报告简介:

  In this talk, l shall first introduce some global well-posedness results onthe 2D Boussinesg equations, then l shall show our newest result on the 2DBoussinesg equations in the subcritical case. In addition, the globalregularity of the critical case is also obtained provided that the L^o-normofinitial temperature is small enough. The key ingredient and newobservation are the iterative process between the combined quantity andthe temperature, which may be of independent of interest. Finally, a globalregularity result is also obtained for another subcritical case.

报告人简介:

  许孝精，北京师范大学数学科学学院教授，博士生导师，数学建模教育中心执行主任。主要研究流体力学数学理论，给出了一系列Boussinesq方程的适定性理论。曾获“吉林省优秀博士学位论文”北京市优秀教学成果奖、北师大励耘优秀青年教师奖一等奖、校优秀博士生学位论文指导教师、校优质课程特等奖等。主持了多项国家自然科学基金，发表学术论文60余篇，被引用1067余次，大部分成果发表在Math.Ann.,J.Math.Pures Appl.,」.Funct. Anal., SIAMJ.Math. Anal., Indiana Univ.Math.」等国际知名学术期刊。曾在法国、美国、加拿大、波兰和香港等地区进行学术访问10余次。