强色散二维表面波Boussinesq系统的适定性
偏微分方程分析
2011-04-12 v2
摘要
本文考虑与模拟弱非线性长波表面波的二维Boussinesq型色散系统相关的Cauchy问题的适定性。我们强调“强色散”的情形，重点关注具有最强色散性质的“KdV-KdV”系统，该系统是经典KdV方程的二维向量推广。
引用
@article{arxiv.1103.4159,
title = {Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems},
author = {Felipe Linares and Didier Pilod and Jean-Claude Saut},
journal= {arXiv preprint arXiv:1103.4159},
year = {2011}
}
备注
26 pages; small changes in the proof of the Strichartz estimate