时  间：2023年10月29日下午14:00-15:00

地  点：湖南大学电气与信息工程学院院楼219报告厅

主讲人简介：

Denis Sidorov教授，俄罗斯伊尔库茨克科学院西伯利亚分校梅伦蒂耶夫能源系统研究所的首席研究员，俄罗斯伊尔库茨克伊尔库茨克州立研究技术大学的教授。

Denis Sidorov教授（IEEE的高级成员）于1974年出生于俄罗斯伊尔库茨克。他于2000年和2014年分别获得了俄罗斯伊尔库茨克国立大学应用数学博士学位和特许教师资格。分别于2000年和2014年获得俄罗斯伊尔库茨克州立大学应用数学学位。他目前是俄罗斯伊尔库茨克科学院西伯利亚分校梅伦蒂耶夫能源系统研究所的首席研究员，以及俄罗斯伊尔库茨克伊尔库茨克州立研究技术大学的教授。他的研究兴趣包括积分和微分方程、机器学习、风能和逆问题。

讲座简介：

A key role in the theory of fiber spinning is played by hydrodynamic models described by nonlinear boundary layer problems. The report examines such boundary value problems using modern methods of functional analysis, hydrodynamics and computational mathematics. An analytical method for constructing solutions in one-dimensional stationary models with boundary conditions has been developed. A numerical method is proposed whose relative errors in determining the characteristics of the heat flow for a flat plate do not depend on the Reynolds number. Theorems on the existence of solutions to boundary value problems arising in physical and technical models of polymers are proven using the Cauchy-Kovalevskaya theorem and the Schauder fixed point principle. Using general existence theorems for solutions of nonlinear equations with a vector parameter, the existence of solutions to a boundary-value problem from boundary layer theory on an unbounded half-interval is proven. The report is intended for specialists in the field of industrial mathematics, its applications in chemical technology, in the theory of materials, as well as scientists and engineers interested in nonlinear boundary value problems.