4.30

数学中心（813教室）

博洛尼亚大学 Tommaso Ruggeri 教授

报告题目：Classical and relativistic mixture of gases and analogies with Cucker-Smale flocking

Abstract

In recent years was proved an analogy between  the homogeneous solutions of a mixture of gases and the thermomechanical Cucker-Smale flocking model in a classical setting (Ha, S.-Y., Ruggeri, T.: Emergent dynamics of a thermodynamically consistent particle model. Arch. Rational Mech. Anal. 223, 1397–1425 (2017)).

In this talk, we present some ideas on how to construct a relativistic model for a mixture of Euler gases with multi temperatures. For the proposed relativistic model, we explicitly determine  production terms resulting from the interchange of energy-momentum between the constituents via the entropy principle.  In this way, we can derive a relativistic counterpart of the TCS model. Moreover, we employ the theory of principal subsystem to derive the relativistic Cucker- Smale model.

This is joint work with Seung-Yeal Ha and  Jeongho Kim.