KMS Of Academy of mathematics and systems sciences, CAS
| theboltzmannequationwithtimeperiodicboundarytemperature | |
Renjun DUAN1; Yong WANG2 ; Zhu ZHANG1
| |
| 2019 | |
| Source Publication | 应用数学学报英文版
 |
| ISSN | 0168-9673 |
| Volume | 000Issue:001Pages:174 |
| Abstract | This paper is concerned with the boundary-value problem on the Boltzmann equation in bounded domains with diffuse-reflection boundary where the boundary temperature is time-periodic. We establish the existence of time-periodic solutions with the same period for both hard and soft potentials, provided that the time-periodic boundary temperature is sufficiently close to a stationary one which has small variations around a positive constant. The dynamical stability of time-periodic profiles is also proved under small perturbations, and this in turn yields the non-negativity of the profile. For the proof, we develop new estimates in the time-periodic setting. |
| Language | 英语 |
| Funding Project | [RGC of Hong Kong] ; [CUHK] ; [NSFC] |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/38451 |
| Collection | 应用数学研究所 |
| Affiliation | 1.Department of Mathematics,The Chinese University of Hong Kong,Hong Kong 2.中国科学院数学与系统科学研究院 3.中国科学院大学 |
| Recommended Citation GB/T 7714 | Renjun DUAN,Yong WANG,Zhu ZHANG. theboltzmannequationwithtimeperiodicboundarytemperature[J]. 应用数学学报英文版,2019,000(001):174. |
| APA | Renjun DUAN,Yong WANG,&Zhu ZHANG.(2019).theboltzmannequationwithtimeperiodicboundarytemperature.应用数学学报英文版,000(001),174. |
| MLA | Renjun DUAN,et al."theboltzmannequationwithtimeperiodicboundarytemperature".应用数学学报英文版 000.001(2019):174. |
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