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Renjun DUAN1; Yong WANG2; Zhu ZHANG1
Source Publication应用数学学报英文版
AbstractThis 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.
Funding Project[RGC of Hong Kong] ; [CUHK] ; [NSFC]
Document Type期刊论文
Affiliation1.Department of Mathematics,The Chinese University of Hong Kong,Hong Kong
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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