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依赖于温度的Stokes方程的能量衰减估计

Energy Decay Estimates in Temperature Dependent Stokes Flow
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摘要 在半无界管状区域中的Stokes方程的初边值问题中,以该问题的解定义了一个加权能量函数E(z,t),通过计算,导出了以该能量函数为未知函数的二阶微分不等式,并得出该能量函数随着z与有限端距离的逐渐增大而呈指数式衰减的估计结果。 In this paper, the solutions of the Stokes equations in a semi-infinite cylindrical pipe are discussed. The authors defined it to be a weighted energy functional of E(z, t). It can be deduced a second order differential inequality and an exponential decay estimates in terms of the distance from the finite end of the pipe is obtained.
出处 《青岛科技大学学报(自然科学版)》 CAS 2006年第4期372-376,共5页 Journal of Qingdao University of Science and Technology:Natural Science Edition
关键词 STOKES方程 半无界管状区域 衰减估计 指数式衰减 Stokes equation semi-infinite cylindrical pipe decay estimates exponential decay
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参考文献5

  • 1Karen A Ames,Lawrence E Payne.Saint-Venant decay results for ill-posed elliptic problems[J].Mathematical Models and Methods in Applied Sciences,2000,10(5):771-783. 被引量:1
  • 2LIN Changhao,Payne L E.Spatial decay bounds in the channel flow of an incompressible viscous fluid[J].Mathematical Models and Methods in Applied Sciences,2004,14:795-818. 被引量:1
  • 3LIN Changhao,Lawrence E.Payne Spatial decay bounds in time dependent pipe flow of an incompressible viscous fluid[J].SIAM J Appl Math,2004,10:584-597. 被引量:1
  • 4LIN Changhao.Exponential decay estimates for solutions of the polyharmonic equation in a semi-infinite Clinder[J].Journal of Mathematical Analysis and Applications,1994,181(3):626-647. 被引量:1
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