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Global Attractors and Determining Modes for the 3D Navier-Stokes-Voight Equations 被引量:12
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作者 Varga K.KALANTAROV Edriss S.TITI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第6期697-714,共18页
The authors investigate the long-term dynamics of the three-dimensional Navier- Stokes-Voight model of viscoelastic incompressible fluid. Specifically, upper bounds for the number of determining modes are derived for ... The authors investigate the long-term dynamics of the three-dimensional Navier- Stokes-Voight model of viscoelastic incompressible fluid. Specifically, upper bounds for the number of determining modes are derived for the 3D Navier-Stokes-Voight equations and for the dimension of a global attractor of a semigroup generated by these equations. Viewed from the numerical analysis point of view the authors consider the Navier-Stokes-Voight model as a non-viscous (inviscid) regularization of the three-dimensional Navier-Stokes equations. Furthermore, it is also shown that the weak solutions of the Navier-Stokes- Voight equations converge, in the appropriate norm, to the weak solutions of the inviscid simplified Bardina model, as the viscosity coefficient v →0. 展开更多
关键词 Navier-Stokes-Voight Navier-Stokes-Voigt Global attractor Determining modes Regularization of the Navier-Stokes Turbulence models Viscoelastic models
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On problem of the determination of operational mode of towed line array with distorted shape
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作者 LI Qihu(Institute of Acoustics, Academia Sinica) 《Chinese Journal of Acoustics》 1990年第2期139-144,共6页
The distortion of the array shape is one of the main factors which result the performance degeneration from the ideal situation of towed line array (TLA). Based on the ordinary array shape distortion, the directivity ... The distortion of the array shape is one of the main factors which result the performance degeneration from the ideal situation of towed line array (TLA). Based on the ordinary array shape distortion, the directivity function of TLA is presented in this paper. An algorithm for precisely determning the coordinates of each element by means of the inverse elliptic function is derived. A fast approximation of recursive formula for solving distorted array shape is given. According to the comparison between ideal directivity and the directivity of distorted array, the criterion for making decision of operational mode of TLA sonar is presented. So that the performance prediction problem in TLA is solved. The results of system simulation in computer show a good agreement with the theoretical analysis. 展开更多
关键词 TLA On problem of the determination of operational mode of towed line array with distorted shape LINE mode
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