| 一维可压缩Navier-Stokes-Korteweg方程组的大初值整体光滑解 |
| |
| 引用本文： | 陈婷婷,陈志春,陈正争. 一维可压缩Navier-Stokes-Korteweg方程组的大初值整体光滑解[J]. 数学杂志, 2017, 37(1): 91-106 |
| |
| 作者姓名： | 陈婷婷 陈志春 陈正争 |
| |
| 作者单位： | 安徽大学数学科学学院, 安徽 合肥 230601,安徽大学数学科学学院, 安徽 合肥 230601,安徽大学数学科学学院, 安徽 合肥 230601 |
| |
| 基金项目： | Supported by National Natural Science Foundation of China (11426031) and Undergraduate Scientific Research Training Program of Anhui University (ZLTS2015141). |
| |
| 摘 要： | 本文研究了当粘性系数和毛细系数是密度函数的一般光滑函数时，一维等温的可压缩NavierStokes-Korteweg方程的Cauchy问题.利用基本能量方法和Kanel的技巧，得到了大初值、非真空光滑解的整体存在性与时间渐近行为.本文结果推广了已有文献中的结论.
|
| 关 键 词： | 可压缩Navier-Stokes-Korteweg方程 整体存在性 时间渐近行为 大初值 |
| 收稿时间： | 2016-04-09 |
| 修稿时间： | 2016-04-20 |
GLOBAL SMOOTH SOLUTIONS TO THE 1-D COMPRESSIBLE NAVIER-STOKES-KORTEWEG SYSTEM WITH LARGE INITIAL DATA |
| |
| CHEN Ting-ting,CHEN Zhi-chun and CHEN Zheng-zheng. GLOBAL SMOOTH SOLUTIONS TO THE 1-D COMPRESSIBLE NAVIER-STOKES-KORTEWEG SYSTEM WITH LARGE INITIAL DATA[J]. Journal of Mathematics, 2017, 37(1): 91-106 |
| |
| Authors: | CHEN Ting-ting CHEN Zhi-chun CHEN Zheng-zheng |
| |
| Affiliation: | School of Mathematical Sciences, Anhui University, Hefei 230601, China,School of Mathematical Sciences, Anhui University, Hefei 230601, China and School of Mathematical Sciences, Anhui University, Hefei 230601, China |
| |
| Abstract: | This paper is concerned with the Cauchy problem of the one-dimensional isothermal compressible Navier-Stokes-Korteweg system when the viscosity coe-cient and capillarity coe-cient are general smooth functions of the density. By using the elementary energy method and Kanel''s technique[25], we obtain the global existence and time-asymptotic behavior of smooth non-vacuum solutions with large initial data, which improves the previous ones in the literature. |
| |
| Keywords: | compressible Navier-Stokes-Korteweg system global existence time-asymptotic behavior large initial data |
|
| 点击此处可从《数学杂志》浏览原始摘要信息 |
|
点击此处可从《数学杂志》下载免费的PDF全文 |
