Abstract: The 3D generalized hydrodynamics of soft-matter quasicrystals was investigated, and the governing equations for observed and possibly observed soft-matter quasicrystals were derived. The solving procedure for the equations was discussed briefly. Some results obtained reveal the gigantic dissimilarit...
Abstract: The direct numerical simulation (DNS) method was adopted to study the physical problem of unstable Tollmien-Schlichting (T-S) waves in the flat-plate boundary layer under the interaction between free-stream turbulence and 3D localized wall roughness. The numerical results show that the spatial array...
Abstract: Based on the Leslie-Ericksen theory for small molecule liquid crystals, a calculation model was established for liquid crystal cells with free-state upper plates. Under the specified initial boundary conditions, the 2nd-order Runge-Kutta method and the central difference method were applied to condu...
Abstract: The 2D hydrodynamic equations for binary fluid convection were numerically simulated with the SIMPLE method. For separation ratio ψ=－0.6 of the binary fluid mixture and aspect ratio Γ=20 of the rectangular cell, a newtype counterpropagating wave pattern of vertical mirror symmetry was found for the...
Abstract: In view of the dual-frequency excitation characteristics of a certain type of civil aero-engines, the dynamic model of a single DOF linear oscillator coupled with the nonlinear energy sink (NES) was established. At the low to high characteristic frequency ratio (1∶4.74) of the typical dual-rotor eng...
Abstract: Variational principles for dual and triple mixed variables of linear elasticity with finite displacements were proposed. Considering the variation of prescribed boundary conditions and using the reciprocal theorem of finite displacements played the key and bridging roles in derivation of the above v...
Abstract: Currently, Zika virus has spread in more than 65 countries and regions. To estimate the transmission potential of Zika virus and evaluate the effectiveness of the control strategies in Singapore, the classical infectious disease model was employed, and both the least square method and the MCMC metho...
Abstract: The blow-up possibility of local regular solutions to the initial-boundary-value problems with periodic boundary conditions for 2D and 3D Boussinesq systems was discussed. In the 2D case, an L2 estimate of the temperature gradient was given in terms of the eigenvalues of the deformation tensor. From...
Abstract: Compared with the moving least squares (MLS) approximation, the scaled moving least squares (SMLS) approximation can avoid the issue of ill-conditioned matrices involved in the MLS approximation. Error estimates of the SMLS approximation were conducted for the approximation function and its arbitrar...
Abstract: The vibration problems of a class of 2-DOF coupled systems with fractional-order derivatives and small perturbations were studied. First, the asymptotic solutions of the vibration equations with Riemann-Liouville fractional-order derivatives were constructed. With the multi-scale method, the solvabi...
