We consider the five-component Meinhardt-Gierer model for mutually exclusive patterns and segmentation which was proposed in [11]. We prove rigorous results on the existence and stability of mutually exclusive spikes which are located in different positions for the two activators. Sufficient conditions for existence and stability are derived, which depend in particular on the relative size of t...

plate heat exchangers are widely used in industries due to their special characteristics, such as high thermal efficiency, small size, light weight, easy installation, maintenance, and cleaning. the purpose of this study is to consider the effect of depth, angle, and pitch of hemispheric chevrons on the convective heat transfer coefficient and pressure drop. in the simulation of the heat exchan...

offshore pipelines used for oil and gas transportation are often buried to avoid damage from fishing activities and to provide thermal insulation. thermal expansion and contraction of the pipeline during operation can lead to lateral or upheaval buckling. a safe buried pipeline design must take into account a reliable evaluation of soil uplift resistance and pipe embedment depth. while the cost...

We present Depth Explorer, a software tool for examination of depth measures. Depth explorer was written in C++ and Objective-C. It uses a tree-based data structure to render 2-D statistical distributions and depth-based visualizations specified in XML files. We demonstrate the potential of the tool on several test cases. We present an experiments analysis of the L1 depth measure that exposes i...

abstract information on spatial and temporal variations of soil hydraulic conductivity (k) is essential to improve soil and water management. however several techniques have been proposed for measuring of soil hydraulic conductivity above water surface table, but reliability and easy use of these methods in various conditions were always concern for engineers. the purposes of this study are mea...

Data-flow analyses that include some model of the data-flow between MPI sends and receives result in improved precision in the analysis results. One issue that arises with performing data-flow analyses on MPI programs is that the interprocedural control-flow graph ICFG is often irreducible due to call and return edges, and the MPI-ICFG adds further irreducibility due to communication edges. To ...