@article{75b976f9976042afa40f8e04a7a4a1e3,
title = "ASYMPTOTIC STABILITY OF RAREFACTION WAVES FOR A HYPERBOLIC SYSTEM OF BALANCE LAWS",
abstract = "This paper is concerned with the rarefaction waves for a model system of hyperbolic balance laws in the whole space and in the half space. We prove the asymptotic stability of rarefaction waves under smallness assumptions on the initial perturbation and on the amplitude of the waves. The proof is based on the L2 energy method.",
keywords = "Asymptotic stability, Energy method, Hyperbolic balance laws, Rarefaction waves",
author = "Kenta Nakamura and Tohru Nakamura and Shuichi Kawashima",
note = "Funding Information: Acknowledgments. We would like to thank the referee for carefully reading our manuscript and for giving valuable comments. This work was partially supported by JSPS KAKENHI Grant Number JP18H01131. Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences",
year = "2019",
doi = "10.3934/KRM.2019035",
language = "English",
volume = "12",
pages = "923--944",
journal = "Kinetic and Related Models",
issn = "1937-5093",
publisher = "American Institute of Mathematical Sciences",
number = "4",
}