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題名 Propagation of Singularities in the Solutions to the Boltzmann Equation near Equilibrium
作者 段任軍
DUAN, RENJUN
李明融
LI, MENG-RONG
楊彤
YANG, TONG
關鍵詞 Boltzmann equation; singularity; Maxwellian
日期 2008-07
上傳時間 24-Dec-2008 13:29:56 (UTC+8)
摘要 This paper is about the propagation of the singularities in the solutions to the Cauchy problem of the spatially inhomogeneous Boltzmann equation with angular cutoff assumption. It is motivated by the work of Boudin–Desvillettes on the propagation of singularities in solutions near vacuum. It shows that for the solution near a global Maxwellian, singularities in the initial data propagate like the free transportation. Precisely, the solution is the sum of two parts in which one keeps the singularities of the initial data and the other one is regular with locally bounded derivatives of fractional order in some Sobolev space. In addition, the dependence of the regularity on the cross-section is also given.
關聯 Mathematical Models and Methods in Applied Sciences, 18(7), 1093-1114
資料類型 article
DOI http://dx.doi.org/10.1142/S0218202508002966
dc.creator (作者) 段任軍zh_TW
dc.creator (作者) DUAN, RENJUN-
dc.creator (作者) 李明融zh_TW
dc.creator (作者) LI, MENG-RONGen_US
dc.creator (作者) 楊彤zh_TW
dc.creator (作者) YANG, TONGen_US
dc.date (日期) 2008-07en_US
dc.date.accessioned 24-Dec-2008 13:29:56 (UTC+8)-
dc.date.available 24-Dec-2008 13:29:56 (UTC+8)-
dc.date.issued (上傳時間) 24-Dec-2008 13:29:56 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18699-
dc.description.abstract (摘要) This paper is about the propagation of the singularities in the solutions to the Cauchy problem of the spatially inhomogeneous Boltzmann equation with angular cutoff assumption. It is motivated by the work of Boudin–Desvillettes on the propagation of singularities in solutions near vacuum. It shows that for the solution near a global Maxwellian, singularities in the initial data propagate like the free transportation. Precisely, the solution is the sum of two parts in which one keeps the singularities of the initial data and the other one is regular with locally bounded derivatives of fractional order in some Sobolev space. In addition, the dependence of the regularity on the cross-section is also given.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Mathematical Models and Methods in Applied Sciences, 18(7), 1093-1114en_US
dc.subject (關鍵詞) Boltzmann equation; singularity; Maxwellian-
dc.title (題名) Propagation of Singularities in the Solutions to the Boltzmann Equation near Equilibriumen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1142/S0218202508002966-
dc.doi.uri (DOI) http://dx.doi.org/10.1142/S0218202508002966-