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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/90007| Title: | 波茲曼碰撞算子的增益項之平滑性 On the Regularity for the Gain Term of the Boltzmann Collision Operator |
| Authors: | 林浚騰 Jun-Teng Lin |
| Advisor: | 陳逸昆 I-Kun Chen |
| Keyword: | 波茲曼碰撞算子,Radon轉換,區域分割,穩定相態公式,Schur引理,Cotlar-Stein引理, Boltzmann Collision Operator,Radon Transform,Dyadic Partition of Unity,Stationary Phase Formula,Schur Test Lemma,Cotlar-Stein Lemma, |
| Publication Year : | 2023 |
| Degree: | 碩士 |
| Abstract: | 這篇論文主要是探討江金城教授研究的波茲曼碰撞算子,其中有用到穩定相態公式的逼近,進而解釋一些特定算子在各個區域上,範數(norm)都是有界的。 In this thesis, we review some regularity results for the gain term of the Boltzmann collision operator obtained by Jin-Cheng Jiang. In addition to the stationary phase, the specific decomposition of operators is the key element in the research. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/90007 |
| DOI: | 10.6342/NTU202302712 |
| Fulltext Rights: | 同意授權(限校園內公開) |
| Appears in Collections: | 數學系 |
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| File | Size | Format | |
|---|---|---|---|
| ntu-111-2.pdf Access limited in NTU ip range | 609.31 kB | Adobe PDF |
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