GLOBAL BIFURCATION FOR SOLITARY STRATIFIED WATER WAVES

主讲人：Professor ROBIN MING CHEN,University of Pittsburgh

时间：2019年7月19日13:30

地点：徐汇校区3号楼301室

举办单位：数理学院

主讲人介绍：Robin Ming Chen completed his PhD at Brown University in 2007 under the  supervision of Walter Strauss. He joined University of Pittsburgh in 2011. Chen  works in the area of nonlinear PDEs, particularly those arising from fluid  mechanics, geophysics, and materials. A large part of Chen’s work has been  devoted to the study of the global regularity and singularity formation of  solutions, the existence and qualitative properties of traveling waves, and the  stability and instability of traveling waves.

内容介绍：We consider 2D steady water waves with heterogeneous density. The presence of  stratification allows for a wide variety of traveling waves. We prove that for  any smooth choice of upstream velocity and monotone streamline density function,  there always exists a continuous curve of solitary waves with large amplitude,  which are even and decreasing monotonically on either side of a central crest.  As one moves along this curve, the horizontal fluid velocity comes arbitrarily  close to the wave speed.