Scientific talk 2:Long-wave KdV hierarchy approximation of the NLS hierarchy with nonzero boundary condition
报 告 人：Robert Wegner (KIT, 卡尔斯鲁厄理工学院)
报告时间：2025年12月18日（星期四）9:00—10:00
报告地点：数学科学学院114（小报告厅）
校内联系人：廖娴 教授 联系方式：84708351-8510
Abstract: We consider long-wave solutions to the NLS hierarchy with nonzero boundary condition. Rewriting the conserved energies and momenta in hydrodynamic variables, we find that they are approximated by the conserved energies of the KdV hierarchy. Combining this with a similar approximation of the symplectic structures yields a formal approximation result for tthe hierarchies. We quantify this using energy estimates and previously established well-posedness results.
