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ファイル | 記述 | サイズ | フォーマット | |
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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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