数学科学系

Department of Mathematical Sciences

Singularity of macroscopic variables near boundary for gases with cut-off hard potential

报告题目:Singularity of macroscopic variables near boundary for gases with cut-off  hard potential 

报告人:陈逸昆博士(京都大学)

时间:2015317日(星期二)16:00-17:00

地点:理科楼数学系A304

摘要: The boundary singularity for stationary solutions of the linearized Boltzmann equation with cut-off hard potential is analyzed. A technique of using the Holder type  continuity of the integral operator to obtain the integrability of the derivatives of  the macroscopic variables is developed. We establish the asymptotic approximation for the gradient of the moments. Our analysis indicates the logarithmic singularity of the gradient of the moments. In particular, our theorem holds for the condensation and evaporation problem. 

联系人:何凌冰