| 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 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:Supported by National Natural Science Foundation of China (11426031) and Undergraduate Scientific Research Training Program of Anhui University (ZLTS2015141). |
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| GLOBAL SMOOTH SOLUTIONS TO THE 1-D COMPRESSIBLE NAVIER-STOKES-KORTEWEG SYSTEM WITH LARGE INITIAL DATA |
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CHEN Ting-ting, CHEN Zhi-chun, CHEN Zheng-zheng
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School of Mathematical Sciences, Anhui University, Hefei 230601, China
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| 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. |
| Key words: compressible Navier-Stokes-Korteweg system global existence time-asymptotic behavior large initial data |
