Special Session 136: Analysis and Applications of the Boltzmann equation

Convergence to self-similar solution of the Boltzmann equation with shear flow

Shuaikun WANG
Shandong University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this report, we consider the wellposeness of the measure valued solution to the solutions to the Boltzmann equation with shear flow under the non-cutoff collision kernel and discusse the long time behavior of the solution. We show that the strong convergence rate to the self-similar solution is exponentially for the asymmetrical initial data.