报告人：崔翰 （香港中文大学）

报告时间：9月12日上午10-11点 

腾讯会议：769-505-592

报告摘要：In this talk, I will present a recent joint work with Yuexun Wang and Zhouping Xin establishing global existence and modified scattering for solutions to the modified Whitham equations with small, smooth, localized initial data. The main difficulties arise from the slow decay and the non-homogeneity of the dispersion relation. We overcome these by introducing an interaction multiplier theorem and by estimating weighted norms in frequency space. Due to loss of derivatives, the energy estimates are carried out in frequency space; moreover, we exploit the absence of time resonances by extracting good terms via integration by parts in time before the energy estimates.

邀请人：王云