科学研究
报告题目:

Long time existence for a class of weakly transverse Boussinesq systems

报告人:

徐丽(北京航空航天大学数学科学学院)

报告时间:

报告地点:

武汉大学雷军科技楼601报告厅

报告摘要:

We prove the existence on long time scales of the solutions to the Cauchy problem for a version of weakly transverse Boussinesq systems arising in the modeling of surface water waves. This system is much more complicated than the isotropic Boussinesq systems because dispersion is only present in the x-direction, leading to anisotropic eigenvalues in the linearized system. This anisotropic character leads to loss of y-derivatives for the solutions. To overcome this main difficulty our strategy is to symmetrize the system by introducing suitable good unknowns.