| 跳噪声扰动下人工压缩Navier-Stokes方程解的适定性 |
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| 引用本文： | 张芳. 跳噪声扰动下人工压缩Navier-Stokes方程解的适定性[J]. 吉首大学学报(自然科学版), 2022, 43(2): 11-16. DOI: 10.13438/j.cnki.jdzk.2022.02.003 |
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| 作者姓名： | 张芳 |
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| 作者单位： | （南京财经大学应用数学学院,江苏 南京 210046） |
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| 基金项目： | 国家自然科学基金资助项目(11701269) |
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| 摘 要： | 为了克服不可压约束条件数值计算困难,引入人工压缩方法,利用Lévy型伊藤公式、一致先验估计、局部单调性和弱收敛方法,由经典的Minty-Browder方法得到人工压缩Navier-Stokes方程强解的存在唯一性.
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| 关 键 词： | 跳噪声 人工压缩Navier-Stokes方程 存在唯一性 Minty-Browder方法 |
Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise |
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| ZHANG Fang. Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise[J]. Journal of Jishou University(Natural Science Edition), 2022, 43(2): 11-16. DOI: 10.13438/j.cnki.jdzk.2022.02.003 |
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| Authors: | ZHANG Fang |
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| Affiliation: | (School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210046,China) |
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| Abstract: | For the difficulty of numerical calculation under incompressible constraints,the artificial compression method is introduced.With Lévy It formula,uniform a priori estimation,local monotonicity and weak convergence method,the existence and uniqueness of strong solutions of the artificial compression Navier- Stokes equation is obtained by the classical Minty-Browder method. |
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| Keywords: | jump noise artificial compression Navier Stokes equation existence and uniqueness Minty-Browder method |
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