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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 | |
|---|---|---|---|---|
| B67-07.pdf | 5.25 MB | Adobe PDF | 見る/開く |
| タイトル: | Discrete kinetic theory and hyperbolic balance laws (Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics) |
| 著者: | Kawashima, Shuichi |
| 著者名の別形: | カワシマ, シュウイチ |
| キーワード: | 82C40 35L40 35L65 35B35 Discrete kinetic theory hyperbolic balance laws mathematical entropy global existence asymptotic stability |
| 発行日: | Oct-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B67 |
| 開始ページ: | 123 |
| 終了ページ: | 135 |
| 抄録: | The discrete Boltzmann equation is an important example of hyperbolic balance laws. We first review the basic concepts in discrete kinetic theory. Then, as a generalization of the H-function, we introduce the notion of mathematical entropy for hyperbolic balance laws and discuss the symmetrization of the system. Also we introduce Craftsmanship Condition and under this condition we discuss the dissipative structure of the system. Finally, we review the results on the global existence and asymptotic decay of solutions. |
| 記述: | "Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics". May 27～29, 2016. edited by Hisashi Okamoto, Yoshio Tsutsumi, Naomasa Ueki, Tadayoshi Adachi and Senjo Shimizu. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243708 |
| 出現コレクション: | B67 Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics |
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