论文标题
KDV冲击问题的孤子渐近学低规律性问题
Soliton asymptotics for the KdV shock problem of low regularity
论文作者
论文摘要
我们重新审查了孤子区域KDV休克问题的渐近分析。我们的方法基于对相关的Riemann-Hilbert问题的分析,我们扩展了渐近公式的有效性领域,同时需要更少的衰减和平稳性来获得初始数据。
We revisit the asymptotic analysis of the KdV shock problem in the soliton region. Our approach is based on the analysis of the associated Riemann-Hilbert problem and we extend the domain of validity of the asymptotic formulas while at the same time requiring less decay and smoothness for the initial data.