报告时间:2026年11月19日(周四)下午 15:00-16:00
报告地点:苏州大学天赐庄校区精正楼306
报告人:Hyeong-Ohk Bae 教授,Ajou University
报告摘要:
We consider the equations of a non-Newtonian incompressible fluid in a general time-space cylinder Q_T = Ω×(0, T) ⊂ R^n×R, n ≥ 2. We assume that the rheology of the fluid is changing with respect to time and space and satisfies, for each (x, t) ∈ Q_T, the associated power law |D|^p(x,t)D of the symmetric gradient D of u. Under the assumption that 2n/(n+2) < p0 ≤ p(x, t) ≤ p1 < ∞ and the set of discontinuity of p is closed and of measure zero, where p0, p1 are constants, we show the existence of a weak solution to the corresponding equations of PDEs for any given initial velocity in L^2_σ(Ω).
报告人简介:
Hyeong-Ohk Bae,韩国亚洲大学(Ajou University)金融工程系教授,1996年获美国明尼苏达大学双城分校博士学位。主要从事非线性偏微分方程及其应用研究,研究内容涉及Navier-Stokes方程、非牛顿流体、群体动力学与金融数学等。曾任韩国数学会副会长(2019—2020年),2015年获韩国教育部部长奖,以表彰其在非牛顿流体数学分析方面的研究成果。
邀请人:王云