| dc.contributor | 應用數學系 | |
| dc.creator (作者) | Li, Meng-Rong | |
| dc.creator (作者) | 李明融 | zh_TW |
| dc.date (日期) | 2008 | |
| dc.date.accessioned | 10-Dec-2015 18:09:32 (UTC+8) | - |
| dc.date.available | 10-Dec-2015 18:09:32 (UTC+8) | - |
| dc.date.issued (上傳時間) | 10-Dec-2015 18:09:32 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/79645 | - |
| 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.extent | 128 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Mathematical Models and Methods in Applied Sciences , Volume 18, Issue 07, July 2008 | |
| dc.title (題名) | PROPAGATION OF SINGULARITIES IN THE SOLUTIONS TO THE BOLTZMANN EQUATION NEAR EQUILIBRIUM | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1142/S0218202508002966 | |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1142/S0218202508002966 | |
