The Bragg resonant reflection excited by a finite periodic array of parabolic trenches was analytically studied. First, the modified mild-slope equation (MMSE) with implicit coefficients was transformed into an ordinary differential equation with explicit coefficients through variable substitution. ...

The movement mechanisms of Newtonian droplets in power-law fluids in T-junction microchannels were studied with the lattice Boltzmann method. The effects of power-law index n , capillary number C_a , flow ratio Q , viscosity ratio M, and surface wettability θ on the droplet formation size, the format...

The unsteady flow of the upper-convected Oldroyd-B fluid over the heated wedge in the presence of velocity slip was discussed. The process of heat transfer and the effect of the thermal retardation time on heat transfer were simulated with the relaxation-retardation heat flux model. The buoyancy, th...

To design reasonable main dimensions of catenary anchor leg mooring (CALM) buoys, 5 main design requirements were summarized. Based on practical engineering experiences, the mother model estimation method was established against the buoy weight. The reserve buoyancy was discussed, and the equal free...

Generally, the macro-scopic mechanical properties of heterogeneous composites depend on meso-components’ distribution and mechanical properties, but it is extremely difficult to establish a clear macro-meso relationship expression. To cope with this challenge, for concrete, a strategy based on deep ...

With the continual increase of mining depths, the mechanical behaviors of deep rock masses present new forms and new characteristics. The whipping effect widely used in the construction industry is very similar to the partial dynamic responses of deep rock masses. Based on the structural characteris...

The displacement pattern of wall footing rotation occurs for the backfill wall constrained at the bottom. The non-limit states of the soil layers at different depths are different in this pattern, and present difficulties for soil stress calculation. Based on the existing research, the functional re...

A new type of approximate subdifferential was proposed for quasiconvex functions. Their properties were studied, and the approximate subdifferential was applied to the characterization of approximate solutions to quasiconvex multiobjective optimization problems. Firstly, the existing approximate sub...

The PageRank algorithm has become the core technology for web search engines. For the linear equations derived from the PageRank problem, firstly, the restarted GMRES (generalized minimal residual) method of the Krylov subspace methods was combined with the multi-splitting iterative method, and a mo...

The nonlinear time-fractional diffusion equations were considered in the 2D domain, and the physical information in initial state

of the material was recovered from the measured data in the final state. This problem is seriously ill-posed, that is, the soluti...

Blow-up of solutions to semilinear Moore-Gibson-Thompson (MGT) equations with space-dependent coefficients and source terms was studied. Under subcritical conditions, through selection of suitable energy functionals and test functions, and with an iteration method and some differential inequality te...