In this paper, we establish the local well-posedness for the Cauchy problem of the simplified version of hydrodynamic flow of nematic liquid crystals (1.1) in R3 for any initial data (u0, d0) having small L3 uloc -norm of (u0,∇d0). Here L3uloc(R 3) is the space of uniformly locally L3-integrable functions. For any initial data (u0, d0) with small ‖(u0,∇d0)‖L3(R3), we show that there exists a un...

We formulate a hierarchy of models relevant for studying coupled well-reservoir flows. The starting point is an integral equation representing unsteady single-phase 3-D porous media flow and the 1-D isothermal Euler equations representing unsteady well flow. This 2 × 2 system of conservation laws is coupled to the integral equation through natural coupling conditions accounting for the flow bet...

_________________________________________________________ C-

Numerical simulation of fluid flow and transport processes in the subsurface must account for the presence of wells. The pressure at a gridblock that contains a well is different from the average pressure in that block and different from the flowing bottom hole pressure for the well [17]. Various finite difference well models have been developed to account for the difference. This paper present...

the objective of this study was to develop a numerical model for the prediction of temperature distribution, effective plastic strain distribution, and especially material flow in friction stir welding of copper plates. the deform-3d software was used by incorporating a lagrangian incremental formulation. threedimensional results of the material flow pattern which were extracted using the point...

Organizational models within multi-agent systems literature are of a static nature. Depending upon circumstances adaptation of the organizational model can be essential to ensure a continuous successful function of the system. This paper presents an approach based on max flow networks to dynamically adapt organizational models to environmental fluctuation. First, a formal mapping between a well...

Recently, the technologies for global modeling of process oil well drilling have become widespread. Mathematical is used in design, virtual testing various equipment, simulations emergency situations, and personnel training. Complex includes simulation such phenomena as dynamics drill string its contact interaction with walls, flow fluid soil (considering influxes leakages), crushing by drill, ...