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1 次元等エントロピー流に対するTartar 方程式の解法の改良
https://doi.org/10.34447/00001001
https://doi.org/10.34447/00001001740fcbb9-6a25-44be-9f5f-042ac4cb3e0b
名前 / ファイル | ライセンス | アクション |
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kiyo27_17-34 (374.9 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2023-03-10 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | 1 次元等エントロピー流に対するTartar 方程式の解法の改良 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | An improvement for solving of Tartar’s equation for one dimensional isentropic gas dynamics | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題 | isentropic gas dynamics | |||||
キーワード | ||||||
主題 | compensated compactness theory | |||||
キーワード | ||||||
主題 | improvement for solving Tartar’s equation | |||||
キーワード | ||||||
主題 | Young measure | |||||
キーワード | ||||||
主題 | discrete adiabatic exponent | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.34447/00001001 | |||||
ID登録タイプ | JaLC | |||||
著者 |
竹野, 茂治
× 竹野, 茂治 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Using the compensated compactness theory, DiPerna proved the existence of weak solutions of one dimensional isentropic gas dynamics equations with arbitrary large initial data for discrete adiabatic exponents, and Ding-Chen-Luo extended the result for continuous adiabatic exponents. In their results, it is important to solve Tartar’s equation for Young measure and weak entropy pairs, but the part is complicated. In this article, we see an improvement of the part for discrete exponents. In our method, the argument for the part is more simple, and we can relax the restriction of the basic function of the weak entropies. |
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書誌情報 |
新潟工科大学研究紀要 巻 27, p. 17-34, 発行日 2023-03 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1342-792X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN10590360 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | 新潟工科大学 |