演講公告

演講主題： A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to shock-wave structure
主講人：郭鴻文教授 (成功大學數學系)
演講日期：2020 年3月31日(星期二) 14:20 –15:10
演講地點：(光復校區) 科學一館223室
摘要內容：
Abstract. We establish a new kinetic model of the Boltzmann equation for a polyatomic gas with temperature dependent specific heats.

It is an extension of the ellipsoidal statistical (ES) model for a gas with constant specific heats.

We prove the basic properties of the new model equation such as the equilibrium solution, the conservation laws, and the space-homogeneous H-theorem. The formulas of viscosity, bulk viscosity, and thermal conductivity are also derived from the model equation by the Chapman-Enskog expansion. Then, the new model equation is used to investigate the structure of a plane shock wave with special interest in the carbon dioxide gas, which is known to have a very large bulk viscosity, and in the case of relatively strong shock waves. From the numerical and analytical results, the effect of temperature-dependent specific heats is clarified. This is a joint work with Shingo Kosuge and Kazuo Aoki.
相關檔案：Talk_1090331.pdf

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