講座名稱：Global regularity results of the 2D fractional Boussinesq equations

講座人：許孝精 教授

講座時(shí)間：6月17日10:00-11:00

地點(diǎn)：南校區(qū)會(huì)議中心103報(bào)告廳

講座人介紹：

許孝精，北京師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授。2005年于吉林大學(xué)獲博士學(xué)位。主要研究流體動(dòng)力學(xué)中偏微分方程組的適定性理論。博士學(xué)位論文獲“吉林省優(yōu)秀博士學(xué)位論文”，主持完成省部級(jí)及以上的科研項(xiàng)目多項(xiàng)。 發(fā)表學(xué)術(shù)論文60余篇，部分結(jié)果發(fā)表在J. Math. Pures Appl., JFA, IUMJ, SIAM J. Math. Anal.，Nonlinearity，J. Nonlinear Science，CVPDE，JDE等知名雜志上。曾在法國、美國、加拿大、波蘭和香港等地區(qū)進(jìn)行學(xué)術(shù)訪問十余次。

講座內(nèi)容：

In this talk, I shall first introduce some global well-posedness results on the 2D Boussinesq equations, then I shall show our newest result on the 2D Boussinesq equations in the subcritical case. In addition, the global regularity of the critical case is also obtained provided that the L^∞-norm of initial temperature is small enough. The key ingredient and new observation are the iterative process between the combined quantity and the temperature, which may be of independent of interest. Finally, a global regularity result is also obtained for another subcritical case.

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院