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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B63-03.pdf | 2.39 MB | Adobe PDF | 見る/開く |
| タイトル: | Weak solutions to the time-dependent Ginzburg-Landau-Maxwell equations (Regularity and Singularity for Partial Differential Equations with Conservation Laws) |
| 著者: | Fan, Jishan Ozawa, Tohru |
| 著者名の別形: | オザワ, トオル |
| キーワード: | 35A05 35A40 82D55 Uniqueness weak solutions superconductivity Coulomb gauge |
| 発行日: | May-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: | B63 |
| 開始ページ: | 23 |
| 終了ページ: | 30 |
| 抄録: | We first prove the existence and uniqueness of global weak solutions to the 3D timedependent Ginzburg-Landau-Maxwell equations with the Coulomb gauge. Then, we obtain uniform bounds of solutions with respect to the dielectric constant ϵ > 0. Consequently, the existence of global weak solutions to the Ginzburg-Landau equations follows by a compactness argument. |
| 記述: | "Regularity and Singularity for Partial Differential Equations with Conservation Laws". June 3～5, 2015. edited by Keiichi Kato, Mishio Kawashita, Masashi Misawa and Takayoshi Ogawa. 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/2433/243647 |
| 出現コレクション: | B63 Regularity and Singularity for Partial Differential Equations with Conservation Laws |
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