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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s00205-013-0714-9.pdf | 220.25 kB | Adobe PDF | 見る/開く |
| タイトル: | Boundary Singularity for Thermal Transpiration Problem of the Linearized Boltzmann Equation |
| 著者: | Chen, I-Kun Liu, Tai-Ping Takata, Shigeru    https://orcid.org/0000-0001-6787-6777 (unconfirmed) |
| 著者名の別形: | 髙田, 滋 |
| キーワード: | Asymptotic Formula Collision Operator Pointwise Estimate Logarithmic Singularity Boundary Singularity |
| 発行日: | May-2014 |
| 出版者: | Springer |
| 誌名: | Archive for Rational Mechanics and Analysis |
| 巻: | 212 |
| 号: | 2 |
| 開始ページ: | 575 |
| 終了ページ: | 595 |
| 抄録: | We study the boundary singularity of the fluid velocity for the thermal transpiration problem in the kinetic theory. Logarithmic singularity has been demonstrated through the asymptotic and computational analysis. The goal of this paper is to confirm this logarithmic singularity through exact analysis. We use an iterated scheme, with the “gain” part of the collision operator as a source. The iterated scheme is appropriate for large Knudsen numbers considered here and yields an explicit leading term. |
| 著作権等: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00205-013-0714-9 The full-text file will be made open to the public on 29 January 2015 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/278294 |
| DOI(出版社版): | 10.1007/s00205-013-0714-9 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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