| 关于带未知函数线性附加项的简化Boussinesq方程 |
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| 引用本文： | 魏晓军.关于带未知函数线性附加项的简化Boussinesq方程[J].应用数学与计算数学学报,2004,18(1):16-22. |
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| 作者姓名： | 魏晓军 |
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| 作者单位： | 上海大学上海市应用数学和力学研究所,上海,200072 |
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| 基金项目： | 上海市教委发展基金项目(02AK49)，上海市科委重点项目(02DJ14032) |
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| 摘 要： | 应用分层理论研究带未知函数线性附加项的简化Boussinesq方程的稳定性, 以及使其初值问题适定的充要条件.最后给出初值问题不适定时具有若干形式解的实例.
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| 关 键 词： | Boussinesq方程 分层理论 形式解 末方程 |
| 修稿时间： | 2003年6月26日 |
On the Simplified Boussinesq Equation Appending Linear Polynomials of Unknown Functions |
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| Wei Xiaojun
Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai ,China.On the Simplified Boussinesq Equation Appending Linear Polynomials of Unknown Functions[J].Communication on Applied Mathematics and Computation,2004,18(1):16-22. |
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| Authors: | Wei Xiaojun
Institute of Applied Mathematics and Mechanics Shanghai University Shanghai China |
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| Institution: | Wei Xiaojun
Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China |
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| Abstract: | By the stratification theory, a discussion about the stability of a simplified Boussinesq equation appending linear polynomials of unknown functions, and the necessary and sufficient conditions for a well-posed initial value problem is performed. At last, two examples describing formal solutions of ill-posed problems are presented. |
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| Keywords: | Boussinesq equation stratification theory formal solution secondary equation |
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