| 科氏力下带有内表面张力的黏弹性流体的瑞利—泰勒问题的稳定性 |
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| 引用本文： | 吴兴奇,刘蒙蒙,宋方应.科氏力下带有内表面张力的黏弹性流体的瑞利—泰勒问题的稳定性[J].福州大学学报(自然科学版),2022,50(2):155-160. |
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| 作者姓名： | 吴兴奇 刘蒙蒙 宋方应 |
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| 作者单位： | 福州大学数学与计算机科学学院,福州大学数学与计算机科学学院,福州大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金青年项目 |
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| 摘 要： | 研究科氏力下带有内表面张力的不可压缩黏弹性流体的瑞利—泰勒问题的稳定性.建立稳定性准则,并在该准则下证明了瑞利—泰勒问题的解关于时间的指数稳定性.由于所得到的稳定性准则不依赖于旋转速度大小,故稳定性结果表明在瑞利—泰勒问题中科氏力不会产生失稳效果.
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| 关 键 词： | 科氏力 黏弹性流体 瑞利—泰勒问题 稳定条件 Stokes估计 稳定性 |
| 收稿时间： | 2021/3/1 0:00:00 |
| 修稿时间： | 2021/4/6 0:00:00 |
Stability of the Rayleigh-Taylor problem of viscoelastic fluids with internal surface tension under Coriolis force |
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| WU Xingqi,LIU Mengmeng,Song Fangying.Stability of the Rayleigh-Taylor problem of viscoelastic fluids with internal surface tension under Coriolis force[J].Journal of Fuzhou University(Natural Science Edition),2022,50(2):155-160. |
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| Authors: | WU Xingqi LIU Mengmeng Song Fangying |
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| Institution: | College of Mathematics and Computer Science, Fuzhou University,College of Mathematics and Computer Science, Fuzhou University,College of Mathematics and Computer Science, Fuzhou University |
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| Abstract: | We study the stability of the Rayleigh-Taylor problem of incompressible viscoelastic fluids with internal surface tension under Coriolis force. We establish the stability criterion, and then prove the stability of the Rayleig h-Taylor problem under the stability criterion. Since the stability criterion is independent of the velocity of rotation, our result shows that the Coriolis force does not play an unstable role in the Rayleigh-Taylor problem. |
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| Keywords: | Coriolis force viscoelastic fluid Rayleigh-Taylor problem the stable criterion the Stokes estimates stability |
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