@article{3bff073dfdcc4948be0e7514d6d06f76,
title = "The Lp-Lq decay estimate for the multidimensional compressible flow with free surface in the exterior domain",
abstract = "The aim of this paper is to develop the general Lp theory for the barotropic compressible Navier-Stokes equations with the free boundary condition in the exterior domain in RN (N≥3). By the spectral analysis, we obtain the classical Lp-Lq decay estimate for the linearized model problem (with variable coefficients) in view of the partial Lagrangian transformation.",
keywords = "Decay estimate, Free boundary condition, Lam{\'e} operator, Resolvent problem",
author = "Yoshihiro Shibata and Xin Zhang",
note = "Funding Information: We would like to thank the referee for his/her valuable comment to improve this manuscript. Y.S. is partially supported by Top Global University Project and JSPS Grant-in-aid for Scientific Research (A) 17H0109 ; X.Z. is partially supported by NSF of China under Grant 12101457 and supported by the Fundamental Research Funds for the Central Universities . Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = jul,
day = "15",
doi = "10.1016/j.jde.2022.04.012",
language = "English",
volume = "325",
pages = "150--205",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
}