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Series of Academic Activities of School and Institute of Mathematics in 2020(the 307th):Professor Li Kaitai Xi'an Jiaotong University

Posted: 2021-01-04   Views: 

Report topic: Optimal control of the boundary geometry of the flow solid wall: model, analysis, algorithm and application

Reporter: Professor Li Kaitai

Report organizer: Xi'an Jiaotong University

Reporting time: 2020.12.5 (Saturday), 2020.12.12 (Saturday), 2020.12.19 (Saturday) 3:00-5:00 pm

Report location: Tencent Conference ID: 934 7912 3410

Report summary:

This academic report uses the conservation laws in physics and the Lagrange principle of least action to establish a mathematical model of the problem of the flow solid wall boundary. The target functional control variable is a two-dimensional manifold, and the state equation is compressible and incompressible Navier-Stokes equation. This report will study the dimensional splitting method of elastic shells, the strength analysis of solid surface structure, the solid vibration caused by fluid, and the splitting method of the non-overlapping regions of compressible and incompressible Navier-Stokes equations of external flow. The corresponding numerical methods can be applied to the geometric design of impeller machinery blades, the shape design of aerospace vehicles, the shape design of high-speed locomotives and chemical reaction towers.

Brief introduction of the speaker:

Professor Li Kaitai, born in 1937, graduated from the Department of Mathematical Mechanics, Xi’an Jiaotong University, majoring in Applied Mathematics in 1962, and was the Dean of the School of Science at Xi’an Jiaotong University; his research fields include: basic theory of partial differential equations, mathematical theories and methods in continuum mechanics , Large-scale engineering and scientific calculations, finite element methods and their applications, divergence in nonlinear physics, chaos theory and calculations, etc.; more than 300 academic papers have been published, of which more than 170 are retrieved by SCI, and 10 academic works are obtained. 8 ministerial academic awards.