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