Harmonic analysis method in multi-dimensional compressible two-fluid model

活动时间:2022-09-20 14:00

活动地点:腾讯会议 725 624 064

主讲人:徐夫义

主讲人中文简介:

徐夫义,山东理工大学数学与统计学院教授,博士生导师。2013年7月毕业于北京航空航天大学数学与系统科学学院,获理学博士学位,主要从事流体动力学方程相关问题的研究。现为美国数学会《数学评论》(Mathematical Reviews)和德国《数学文摘》(Zbl MATH)评论员。主持完成国家自然科学基金1项,山东省自然科学基金2项。已在Communications in Contemporary Mathematics,Nonlinearity,Journal of Mathematical Fluid Mechanics,Discrete and Continuous Dynamical Systems,Communications in Mathematical Sciences,中国科学等国内外期刊发表SCI 检索50余篇。

活动内容摘要:

In this talk, we will introduce some recent mathematical results for the Cauchy problem of  some compressible two-fluid models in spaces with critical regularity indices with respect to the scaling of the associated equations. By employing harmonic analysis tools such as Littlewood-Paley theory, low-high frequency decomposition, and Bony's decomposition, we get the  well-posedness and decay rates of strong solutions to the models.

主持人:吴志刚