Doctoral Candidate Nguyễn Thị Hồng Nhung successfully defended her doctoral thesis on “Sideways Problem Formulation” at VNUHCM-University of Science, under the supervision of Professor Đặng Đức Trọng. Her research focused on determining surface temperatures when direct measurement is not possible, offering significant contributions to heat conduction problems and industrial applications.

On the morning of 19th January, in Room F102 at the VNUHCM-University of Science, Doctoral Candidate Nguyễn Thị Hồng Nhung, specialising in Applied Mathematics, successfully defended her doctoral thesis on the topic “Sideways Problem Formulation.” The thesis was conducted under the supervision of Professor Đặng Đức Trọng.

The thesis investigated the problem of determining the temperature on the surface of an object when direct measurement of the surface is not possible. In such cases, measurement points within the object are more stable, and the surface temperature is determined from data at these points. This is known as the “sideways problem.”

The thesis produced several noteworthy results, including:

• The application of the cutting method to formulate the sideways problem in one-dimensional and two-dimensional domains.
• An investigation of the optimal order of the posterior formulation method, along with a proof of convergence in unbounded domains.
• The proposal of specific examples and numerical results to illustrate the established theories.

The sideways problem is used in various industrial applications to recover the temperature on the surface of an object when direct temperature measurement is not feasible. Furthermore, in recent decades, the study of heat conduction problems has emerged across many branches of science and engineering.

The doctoral candidate proposed several directions for future research, including:

• Investigating the nonlinear sideways problem with both deterministic and stochastic data.
• Analyzing the sideways problem in relation to differential equations involving higher-order derivatives.

Thesis defence photo: 19.01.2025 LVTS Report

Minh Tâm _ Translated by ℙ𝕄ℕ