Soliton asymptotics for the KdV shock problem of low regularity
Analysis of PDEs
2022-02-18 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2202.08507,
title = {Soliton asymptotics for the KdV shock problem of low regularity},
author = {Iryna Egorova and Johanna Michor and Gerald Teschl},
journal= {arXiv preprint arXiv:2202.08507},
year = {2022}
}
Comments
18 pages