报告题目:On the strong solution for a diffuse interface model of non-Newtonian two-phase flows
报 告 人:赵晓朋 教授 东北大学
报告时间:2024年4月19日 17:00-18:00
报告地点:数学楼第一报告厅
校内联系人:郭斌 bguo@jlu.edu.cn
报告摘要:The main purpose of this talk is to study the well-posedness of a diffuse interface model of non-Newtonian two-phase flows in R3. First, we prove the local existence of a unique strong solution provided that the initial velocity and initial concentration of two phase are sufficiently regular. Then, by using the energy estimates and standard continuity argument, we show that there exists a unique global strong solution provided that the initial velocity and initial concentration are sufficiently small.
报告人简介:赵晓朋,男,教授,博士, 沈阳市拔尖人才,必威betway2013届博士生,美国数学评论评论员, 主要科研方向: 偏微分方程. 主持国家自然科学基金、江苏省自然科学基金、中国博士后基金等科研项目多项. 近五年在国际主流数学期刊JNS, JDE, JSC等杂志发表学术论文多篇.