In this note we study a minimization problem for a vector of measures subject to a prescribed interaction matrix in the presence of external potentials. The conductors are allowed to have zero distance from each other but the external potentials satisfy a growth condition near the common points. We then specialize the setting to a specific problem on the real line which arises in the study of c...

A safe, rapid, sensitive, and economical method is presented for detecting leaks in gas-tight laboratory cabinets and other apparatus. This method, using no fluorocarbons and requiring no prior decontamination, is effective under negative, neutral, or positive chamber conditions.

There have been many studies of turbulent combustion flows, however the interaction between turbulent motion and the chemical reactions that occur in hypersonic flows has not been studied. In these flows, the rate of product formation depends almost exclusively on the temperature, and small temperature fluctuations may produce large changes in the rate of product formation. To study this proces...

This study assesses the sensitivity of numerical results of air flow modelling within an urban environment to the six different turbulence models applied in a specific case of a studied staggered cross-road. The principal parameters investigated in this comparison are position of centres of vortices within a street canyon, two components of the spatial velocity vector, turbulent kinetic energy,...

Growth of nanoclusters and nanopillars is considered in a model of surface deposition of building blocks (atoms) diffusionally transported from solution to the forming surface structure. Processes of surface restructuring are also accounted for in the model, which then yields morphologies of interest in catalysis applications. Kinetic Monte Carlo numerical approach is utilized to explore the em...

We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the solution of a functional equation involving the macroscopic (coarsegrained) system model. In the absence of such a closed-form model, short, appropriately initializ...

Dust evolution simulation provides an important way to analyze the impact of dust on the environment. Since wind speed plays a key role in dust evolution, multi-scale simulation is applied to simulate the wind speed in order to improve the accuracy of wind speed simulation and reduce the amount of calculation. Through k-means clustering, the virtual campus can be divided by grids with different...

Direct numerical simulation of turbulent homogeneous shear ow is performed in order to clarify compressibility e ects on the turbulence growth in the ow. The two Mach numbers relevant to homogeneous shear ow are the turbulent Mach number Mt and the gradient Mach number Mg . Two series of simulations are performed where the initial values of Mg and Mt are increased separately. The growth rate of...

Thermodynamic studies of equilibrium chemical reactions linked with kinetic procedures are mostly impossible by traditional approaches. In this work, the new concept of generalized kinetic study of thermodynamic parameters is introduced for dynamic data. The examples of equilibria intertwined with kinetic chemical mechanisms include molecular charge transfer complex formation reactions, pH-depe...

background: the purpose of this study was to investigate the ratio of electromyography (em g) activities of the vastus medialis obliqus (vmo) and vastus lateralis (vl) within seven angles of knee joint range of motion using isometric contraction in open kinetic chain (ok c) and closed kinetic chain (ckc). methods: the dominant knees of 44 healthy female subjects (mean age: 24.84 with range: 20-...