@article{Dutta2024, 
author = {Prerona Dutta and Barbara Lee Keyfitz},
title = {Non-uniform dependence on periodic initial data for the two-component Fornberg-Whitham system in Besov spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {25284-25296},
keywords = {Fornberg-Whitham system, Besov space, non-uniform dependence},
url = {https://www.sciopen.com/article/10.3934/math.20241234},
doi = {10.3934/math.20241234},
abstract = {This paper establishes non-uniform continuity of the data-to-solution map in the periodic case for the two-component Fornberg-Whitham system in Besov spaces  Bp,rs(T)×Bp,rs−1(T) for  s>max{2+1p,52}. In particular, when  p=2 and  r=2, this proves the non-uniform dependence on initial data for the system in Sobolev spaces  Hs(T)×Hs−1(T) for  s>52.}
}