报告题目: |
Symmetry of the linearized Boltzmann equation |
报告人: |
Prof. Shigeru TAKATA |
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Kyoto University, Japan
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报告时间: |
2011-09-15 16:00 |
报告地点: |
清华大学科学馆104报告厅 |
主办单位: |
周培源应用数学研究中心 |
简介: |
In this talk, we discuss a symmetric relation that holds between two independent initial-and boundary-value problems of the linearized Boltzmann equation. We first present a basic idea of this relation, which is a Green-function like idea, and give a useful set of reciprocal formulas that hold in steady and unsteady situations. It will also be clarified that the so-called Onsager--Casimir relation holds for the entire range of the Knudsen number not in general but for a specific class of problems. Our discussion includes some concrete numerical examples that support the predictions of our theoretical framework.
报告人简介：Prof. Shigeru Takata
Present position: Associate Professor, Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University, Kyoto 6060-8501, Japan
Education:
’94 Dr. Eng. (Kyoto University)
Occupation:
’94 Research Associate (Assistant Professor), Faculty of Engineering, Kyoto University
’96 Lecturer, Graduate School of Engineering, Kyoto University
’98 Associate Professor, Graduate School of Engineering, Kyoto University
Awards:
’95 Ryumon Prize (Japan Society of Fluid Mechanics)
Research interests:
Rarefied gas dynamics, Non-equilibrium gas dynamics, Foundation of continuum fluid mechanics
- Development of finite-different methods for the Boltzmann equation
- Dynamics of an aerosol particle (phoretic forces)
- Discontinuity of the velocity distribution function and related phenomenon |
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