Title: Global existence and blow up of solutions for the multidimensional sixth order good Boussinesq equation
Speaker: Prof. Xu Runzhang (Harbin Engineering University)
Time:Sunday, March 19, 2017, 15:00-16:00
Venue: Room 318, Building No.4, Wushan Campus
This talk is concerned with the Cauchy problem of solutions for some nonlinear multidimensional good Boussinesq equation of sixth order at three different initial energy levels. In the framework of potential well the global existence and blow up of solutions are obtained together with the concavity method at both low and critical initial energy level. Moreover by introducing a new stable set we present some sufficient conditions on initial data such that the weak solution exists globally at sup-critical initial energy level.