文献类型：期刊文献

英文题名：The large time behavior of strong solutions to a P1-approximation arising in radiating hydrodynamics

作者：Xu, Fuyi[1];Chi, Meiling[1];Wang, Gang[2];Wu, Yonghong[3];Li, Yeping[4]

机构：[1]Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China;[2]Shandong Transport Vocat Coll, Dept Sci & Humanity, Weifang 261206, Shandong, Peoples R China;[3]Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia;[4]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2020

卷号：192

期号：2

起止页码：427

外文期刊名：MONATSHEFTE FUR MATHEMATIK

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000516380100001)】；

基金：Research supported by the National Natural Science Foundation of China (11501332,11771043,51976112), the Natural Science Foundation of Shandong Province (ZR2015AL007), and Young Scholars Research Fund of Shandong University of Technology.

语种：英文

外文关键词：Radiation hydrodynamics model; Large time behavior; Besov spaces

摘要：This paper is concerned with the study of the Cauchy problem to a multi-dimensional P1-approximation model. Based on a known global well-posedness (Danchin and Ducomet in J Evol Equ 14:155-195, 2014), in L-2-critical regularity framework the time decay rates of the constructed global strong solutions are obtained if the low frequencies of the data under a suitable additional condition. The proof mainly relies on an application of Fourier analysis to a mixed parabolic-hyperbolic system, and on a refined time-weighted energy functional. As a by-product, those time-decay rates of L-q-L-r type are also captured in the critical framework.