中国科学院数学与系统科学研究院

科研进展与学术交流报告会

（第81期）

报告人一：袁旭 副研究员（应用数学研究所）

题目一：Quantitative observability for one-dimensional Schrödinger equations with potentials

摘 要：In this talk, we will discuss the observability problem for Schrödinger equations. In the existing literature, the observability of Schrödinger equation on compact manifolds and bounded domains has been extensively studied. However, the observability problem on an unbounded set (by measurable control regions) is much less studied in the literature. After discussing briefly the previous results, we will present recent results of the quantitative observability result of the 1D Schrödinger equation on real line. Our proof relies on different techniques for low-frequency and high-frequency estimates. This talk is based on the joint work with Pei Su (Université Paris-Saclay) and Chenmin Sun (CNRS).

报告人二：郑好 助理研究员（应用数学研究所）

题目二：Introduction on Quantum Hydrodynamic Models and the Relaxation-time Limit

摘要：Quantum hydrodynamic (QHD) models study hydrodynamic phenomena where quantum effects must be taken into account, such as superfluidity, Bose-Einstein condensation, quantum plasmas, or semiconductor devices. In this talk, I will give a briefly introduction on the physical background of several QHD models, as well as some related mathematical problems and their literatures. Last, I will introduce some recent results about the 1-dimensional collisional Quantum Hydrodynamics (QHD) system and its relaxation-time limit, which is a work in collaborating with Paolo Antonelli and Pierangelo Marcati.

时  间：2024.9.20(星期五), 10:40-12:00

地  点：南楼204会议室/腾讯会议534-8268-8299

报告会视频

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