BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity

doi:10.1016/j.jmaa.2020.123964

	BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity
	Fan, Long 1; Ma, Yujia 1; Ruan, Lizhi 1; Wang, Weigiang 2
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2020-07-01
卷号	487 期号:1 页码:11
关键词	Radiating gas model Nonlinear radiative inhomogeneity Lax-Friedrichs' scheme BV estimate Monotonic technic Modified C-F-L condition
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2020.123964
英文摘要	In this paper, we obtain BV estimates and L-1 stability of solutions to a radiating gas model with nonlinear radiative inhomogeneity by using Lax-Friedrichs' scheme when a modified C-F-L (Courant-Friedrichs-Levy) condition is satisfied. Our result is a natural extension to that of the radiating gas model with linear radiative inhomogeneity so that it provides an understanding on the balance between nonlinear convection and nonlinear radiative inhomogeneity. The method for case of linear radiative inhomogeneity to obtain the key estimate on uniform bound does not work for the case of nonlinear radiative inhomogeneity. The difficulty is overcome by employing a simple but effective monotonic technic. (C) 2020 Elsevier Inc. All rights reserved.
资助项目	Natural Science Foundation of China[11771169] ; Natural Science Foundation of China[11331005] ; Natural Science Foundation of China[11871236] ; Natural Science Foundation of China[11301205] ; Program for Changjiang Scholars and Innovative Research Team in University[IRT17R46] ; Fundamental Research Funds of the Central Universities[CCNU19TS031] ; Fundamental Research Funds of the Central Universities[CCNU18CXTD04]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000522798600034
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51058]
专题	中国科学院数学与系统科学研究院
通讯作者	Ruan, Lizhi
作者单位	1.Cent China Normal Univ, Hubei Key Lab Math Phys, Sch Math & Stat, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Fan, Long,Ma, Yujia,Ruan, Lizhi,et al. BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,487(1):11.
APA	Fan, Long,Ma, Yujia,Ruan, Lizhi,&Wang, Weigiang.(2020).BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,487(1),11.
MLA	Fan, Long,et al."BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 487.1(2020):11.