Prof.  Yue  Peng
the College of Physics and Optoelectronic Engineering, School of Information Science and Engineering at Ocean University of China,  China

Title: Application of Uncertain Mathematical Analysis in Continuum Mechanics Calculations

Abstract:

In the field of continuum mechanics, the integration of uncertainty quantification is crucial. Particularly under the nonlinear behavior of fluids and materials, the sensitivity of solutions leads to significant uncertainty. For example, the solutions of the nonlinear equation x^2-3x+2=0 are {1, 2}, illustrating inherent uncertainty as well known. However, traditional deterministic methods often overlook the intrinsic uncertainties in computational properties and external forces. To address this, we propose an innovative mathematical analysis method that establishes a framework to incorporate the effects of uncertainty, especially in the study of multiplicity in partial differential equations. Our results demonstrate that this method significantly outperforms traditional approaches in terms of predictive accuracy and reliability, paving new pathways for optimization and safety assessment in engineering applications. Furthermore, this research provides a new perspective on uncertainty analysis, advancing the development of related fields.

Biography:

After five years of continuous research on nonlinear rational mechanics, he has formed the calculation and analysis methods, with generalized potential as the core, of nonlinear function space mapping and tensor super streamline field and solved the problems of visualization and axiomatization of the nonlinear operators’ time-space evolution process. He is currently working in the University of Electronic Science and Technology of China. In addition, he served as a professor at China Aerodynamics Research and Development Center. At the same time, he was also appointed as the review member of JEM, OE and other journals. He has hosted or participated in 6 national-level projects; published 1 book; published 31 papers; applied for 7 patents, 2 national defense patents, 3 patent authorizations, of which 2 patents were transferred.