论文标题
在某些不可整合的分散模型中,对大数据的长时间渐近学审查
Review on long time asymptotics of large data in some nonintegrable dispersive models
论文作者
论文摘要
在简短的说明中,我们回顾了有关多种分散模型的大数据解决方案的长时间动态的最新结果。从KDV案例开始,并以KP模型结束,我们回顾了文献,并提出了新的结果,其中病毒估计允许人们在不存在的孤子,团块或孤立波的不同空间中证明局部能量衰减。
In this short note, we review recent results concerning the long time dynamics of large data solutions to several dispersive models. Starting with the KdV case and ending with the KP models, we review the literature and present new results where virial estimates allow one to prove local energy decay in different regions of space where solitons, lumps or solitary waves are not present.