BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity
文献类型：期刊论文
| 作者 | Fan, Long1; Ma, Yujia1; Ruan, Lizhi1; Wang, Weigiang2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000522798600034 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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