GLOBAL BIFURCATION FOR SOLITARY STRATIFIED WATER WAVES

發布者:文明辦作者:發布時間:2019-07-10瀏覽次數:1162


主講人:Professor ROBIN MING CHEN,University of Pittsburgh


時間:2019年7月19日13:30


地點:徐匯校區3號樓301室


舉辦單位:數理學院


主講人介紹: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.


內容介紹: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.

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