期刊文献+

具有奇异振荡的三维非自治线性Kelvin-Voigt-Brinkman-Forchheimer方程的一些估计

Some Estimates for the 3D Non-autonomous Linearization Kelvin-Voigt-Brinkman-Forchheimer Equations with Singularly Oscillating Forces
下载PDF
导出
摘要 主要研究具有奇异振荡力的三维非自治线性Kelvin-Voigt-Brinkman-Forchheimer方程,先对其具有时间相关外力的辅助线性方程进行一般估计,再通过这些一般估计推导出其具有奇异振荡力线性方程的估计. In this paper,we mainly study the three-dimensional non-autonomous linear Kelvin-Voigt-Brinkman-Forchheimer equation with singular oscillating force.Firstly,the general estimation of the auxiliary linear equation with time-dependent external force was carried out,and then the singular oscillation was derived from the results of these general estimates.
作者 谭青维 朱朝生 TAN Qingwei;ZHU Chaosheng(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2022年第3期125-129,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11361016) 重庆市自然科学基金面上项目(cstc2020jcyj-msxmX0037)。
关键词 奇异振荡力 线性Kelvin-Voigt-Brinkman-Forchheimer方程 辅助线性方程 singularly oscillating forces Kelvin-Voigt-Brinkman-Forchheimer equations auxiliary linear equation
  • 相关文献

参考文献5

二级参考文献52

  • 1Adams, R. A., Sobolev Spaces, Academic Press, New York, 1975.
  • 2Babin, A. V. and Vishik, M. I., Attractors of Evolution Equations, North-Holland, Amsterdam, 1992.
  • 3Bardina, J., Ferziger, J. H. and Reynolds, W. C., Improved subgrid scale models for large eddy simulation, 13th AIAA Fluid and Plasma Dynamics Conference, 1980, 80-1357.
  • 4Berselli, L. C., Iliescu, T. and Layton, W. J., Mathematics of Large Eddy Simulation of Turbulent Flows, Scientific Computation, Springer-Verlag, New York, 2006.
  • 5Cao, Y. P., Lunasin, E. M. and Titi, E. S., Global well-posedness of the three dimensional viscous and inviscid simplified Bardina turbulence models, Commun. Math. Sci., 4(4), 2006, 823-848.
  • 6Celebi, A. O., Kalantarov, V. K. and Polar, M., Attractors for the generalized Benjamin-Bona-Mahony equation, J. Diff. Eqs., 157(2), 1999, 439-451.
  • 7Chueshov, I. D., Theory of functionals that uniquely determine the asymptotic dynamics of infinite- dimensional dissipative systems, Russ. Math. Sur., 53(4), 1998, 731-776.
  • 8Cockburn, B., Jones D. A. and Titi, E. S., Determining degrees of freedom for nonlinear dissipative equations, CR Acad. Sci. Paris, 321(5), 1995, 563-568.
  • 9Cockburn, B., Jones D. A. and Titi, E. S., Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems, Math. Comp., 66, 1997, 1073-1087.
  • 10Constantin, P., Doering C. R. and Titi, E. S., Rigorous estimates of small scales in turbulent flows, J. Math. Phys., 37, 1996, 6152- 6156.

共引文献13

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部