@article{76f2ae5f71ba490d8c8532eb6bb0dd4a,
title = "Toward uniform existence and convergence theorems for three-scale systems of hyperbolic PDEs with general initial data",
abstract = "Uniform existence of solutions to initial-value problems and convergence of appropriately filtered solutions are proven for a special class of three-scale singular limit equations, without any restriction on the initial data. The uniform existence is proven using a novel system of energy estimates. The convergence result is based on a detailed analysis of the fastest-scale oscillations, which unlike in two-scale systems have no explicit solution formula.",
keywords = "Limit profile, singular limit, three time scales, uniform existence",
author = "Steve Schochet and Xin Xu",
note = "Publisher Copyright: {\textcopyright} 2022 Taylor & Francis Group, LLC.",
year = "2022",
doi = "10.1080/03605302.2022.2129383",
language = "אנגלית",
volume = "47",
pages = "2401--2443",
journal = "Communications in Partial Differential Equations",
issn = "0360-5302",
publisher = "Taylor and Francis Ltd.",
number = "12",
}