The Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation

时间:2020.11.29 16:00-16:45

地点:腾讯会议 266 913 264

主讲人:Reinhard Racke




Reinhard Racke is a professor at Universität Konstanz in Germany. His research field is partial differential equations and its applications. The focus lies on the dynamics of solutions, in particular on the long time behavior of the systems, and on the question of existence of solutions for nonlinear problems.


We consider the Cauchy problem of a third-order in time nonlinear equation known as the Jordan-Moore-Gibson-Thompson equation arising in acoustics as an alternative model to the well-known Kuznetsov equation.  We present a local existence result in appropriate function spaces, and then, using the energy method together with a bootstrap argument, a global existence result for small data, without using the linear decay. Polynomial decay rates in time will be discussed too.