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L-2-stability of the Landau equation near global Maxwellians
文献类型：期刊论文
| 作者 | Ha, Seung-Yeal1; Xiao, Qinghua2 |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2015-08-01 |
| 卷号 | 56期号:8 |
| 英文摘要 | We present an L-2-stability of the kinetic Landau equation for a single species charged plasma with an inverse power-law interaction force in the perturbative regime of global Maxwellians. Our result demonstrates that the L-2-distance between two classical solutions to the Landau equation can be controlled by that between corresponding initial data in a Lipschitz manner. The Coulomb interaction is known to be the singular and marginal case of the theory of the Boltzmann equation where the grazing collisions are the dominant. For some class of classical solutions, we show that our L-2-stability result can provide a uniform L-2-stability. (C) 2015 AIP Publishing LLC. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | BOLTZMANN-EQUATION ; EXPONENTIAL DECAY ; SOFT POTENTIALS ; STABILITY ; QUANTUM ; PLASMA |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000360654800005 |
| 公开日期 | 2015-10-13 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/7878]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ha, Seung-Yeal,Xiao, Qinghua. L-2-stability of the Landau equation near global Maxwellians[J]. JOURNAL OF MATHEMATICAL PHYSICS,2015,56(8). |
| APA | Ha, Seung-Yeal,&Xiao, Qinghua.(2015).L-2-stability of the Landau equation near global Maxwellians.JOURNAL OF MATHEMATICAL PHYSICS,56(8). |
| MLA | Ha, Seung-Yeal,et al."L-2-stability of the Landau equation near global Maxwellians".JOURNAL OF MATHEMATICAL PHYSICS 56.8(2015). |
入库方式： OAI收割
来源：武汉物理与数学研究所
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