题目:Global classical solutions to 2D Compressible Navier-Stokes Fokker-Planck equations with large initial data
报告人:肖清华(武汉物理数学研究所副研究员)
时间:1月22日(周一)4点,数学中心813
Abstract: We study a hydrodynamic model for the interaction between collision-free Cucker-Smale flocking particles and a viscous compressible fluid. Explicitly our model consists of the kinetic Cucker--Smale--Fokker--Planck (CS--FP)
model and the isentropic compressible Navier--Stokes (N--S) equations for the fluid, and these two models are coupled through a drag force. The global existence of classical solutions to the 2D coupled system with large initial data which my contain vacuum is established. This is a extension of our previous work from 1D case to the 2D case.