報告題目:Some recent results on the chemotaxis-fluid systems
報 告 人:王玉蘭 教授
報告時間:5月21日 15:00-17:00
報告地點:明理樓C302B
報告人簡介:
王玉蘭,博士,教授,四川省學術和技術帶頭人后備人選; 主要從事非線性偏微分方程的研究,近幾年的研究興趣主要為趨化方程組的性質;已在“Comm.Partial Differential Equations” 、 “Calc.Var. Partial Differential Equations”、“Math Z”、 “Math. Models Methods Appl. Sci.”、“ASNS. Pisa”、“J. Differential Equations”、 “Proc. Roy. Soc. Edinburgh Sect. A”、 “Commun. Math. Sci.”、 “Discrete Contin. Dyn. Syst.” 等國際數學期刊上發表學術論文近30篇;先后主持國家自然科學基金項目、四川省應用基礎研究項目、中央引導地方科技發展專項項目等;獲得四川省科技進步獎(自然科學類)二等獎。
報告內容摘要:
In this talk, we shall consider chemotaxis-fluid models involving Dirichlet boundary conditions for the signal. The solution theory is well-developed in the case when the chemotaxis-fluid system is accompanied by homogeneous boundary conditions of no-flux-Neumann-Dirichlet type. However, if in line with what is suggested by the modeling literature, the boundary condition for the signal is changed to a nonhomogeneous Dirichlet one, the corresponding solution theory is much less understood. We shall discuss the global solvability in some chemotaxis-fluid systems involving Dirichlet boundary conditions for the signal.
主辦單位:理學院、人工智能研究院、非線性動力系統研究所、數理力學研究中心 、科學技術發展研究院