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

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

SpeakerYikun Chen Kyoto University

Time16:00-17:00 pm, March 17, 2015

PlaceConference Room A304, Department of Mathematical Sciences

AbstractThe 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. 

ContactLingbing He