主讲人 ：Professor Vincent  Giovangigli, Ecole Polytechnique & C.N.R.S.( Centre National de la Recherche Scientifique), Palaiseau cedex, France

时间：1月11日下午15：00-16：00

地点 ：数学科学学院 412 教室

Abstract: Higher order entropies are kinetic entropy estimators for fluid models. These quantities are quadratic in the velocity and  temperature  derivatives and have temperature dependent coefficients. We first  investigate governing equations for higher order entropies and related a priori estimates for incompressible flows in the situation where viscosity and thermal conductivity depend on temperature according to the kinetic theory. In this situation, we obtain entropic principles for higher order entropies of arbitrary order provided that |Log(T)|_{BMO} + |v/T^{1/2}|_{inty} is small enough. We next discuss the situation of compressible gases.