| 引用本文: | 黄建华,李劲.Lévy过程驱动的随机非牛顿流的鞅解.[J].国防科技大学学报,2012,34(5):169-174.[点击复制] |
| HUANG Jianhua,LI Jin.Martingale solution of stochastic non-Newtonian fluid driven by Lévy noise[J].Journal of National University of Defense Technology,2012,34(5):169-174[点击复制] |
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| Lévy过程驱动的随机非牛顿流的鞅解 |
| 黄建华, 李劲 |
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(国防科技大学 理学院,湖南 长沙 410073)
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| 摘要: |
| 研究了Lévy过程驱动的随机非牛顿流动力系统。研究有限维近似问题解的分布在选定的Hilbert空间中的胎紧性,通过Skorohod嵌入定理和鞅表示定理, 得到随机非牛顿流鞅解的存在性。 |
| 关键词: 随机非牛顿流 鞅解 Lévy噪声 |
| DOI： |
| 投稿日期：2012-03-09 |
| 基金项目:国家自然科学基金资助项目（10971225);湖南省自然科学基金资助项目(11JJ3004);留学回国科研启动基金资助项目 |
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| Martingale solution of stochastic non-Newtonian fluid driven by Lévy noise |
| HUANG Jianhua, LI Jin |
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(College of Science, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The stochastic non-Newtonian flow driven by Lévy noises was studied. By the tight compactness of distribution of the solution for finite-dimensional approximate in a Hilbert space, and Skorohod embedding theorem and representation of martingale, the existence of the martingale solution was confirmed. |
| Keywords: stochastic non-Newtonian fluid martingale solution Lévy noise |
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