时间：2018年11月22日下午3:00-5:00

地点：3B207

报告（一）：The dispersion in the damped Boussinesq equation

报告人：刘国威博士

摘要：In this talk, we will introduce the dispersion in the damped Boussinesq equation and utilize the effect of dispersion to 

obtain the global well-posedness and asymptotic behavior, furthermore, inviscid limit for the damped Boussinesq equation. On one hand, the results show, with the dispersion and dissipation taken into account simultaneously, we get the better decay rate than that got 

only by the dissipation. Actually, the decay rates will plus with each other to a certain extent in which the first decay rate comes 

from dissipation and the second decay rate comes from dispersion. On the other hand, the results show when the dissipation vanishes, 

the solutions will converge strongly to the solution of associated to the Boussinesq equation which is a pure dispersive equation. 

This is a joint work with Professor Weike Wang.

报告（二）：A free boundary tumor model with time dependent nutritional supply

报告人：孙文龙博士

摘要：In this talk, we study a non-autonomous free boundary model for tumor growth. This model consists of a nonlinear reaction 

diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential equation 

describing the evolution of the tumor size. First the global existence and uniqueness of a transient solution is established under 

some general conditions. Then with additional regularity assumptions on the consumption and proliferation rates, the existence and 

uniqueness of steady-state solutions is obtained. Furthermore the convergence of the transient solutions toward the steady-state 

solution is verified. Finally the long time behavior of the solutions is investigated by transforming the time-dependent domain to a 

fixed domain. This is a joint work with Professors Tom¶as Caraballo, Xiaoying Han and Peter Kloeden.