The lattice Boltzmann method (LBM) was used to analyze two-dimensional (2D) non-Fourier heat conduction with temperature-dependent thermal conductivity. To this end, the evolution of wave-like temperature distributions in a 2D plate was obtained. The temperature distributions along certain parts of the plate, which was subjected to heat generation and constant thermal conductivity condit...

Physical Dynamic Static Dynamic Static Non-linear Linear Non-linear Linear Stable Unstable (explosive) Stable Unstable Unstable (constrained) Stable Steady State Transient Steady State Transient Steady State Realistic representation of social and ecological system behavior Most models found in the management and ecological literature may become state variables in another echelon model. State va...

A nonlinear feedback control law that achieves global asymptotic stabilization of a 2D thermal convection loop (widely known for its `Lorenz systema approximation) is presented. The loop consists of viscous Newtonian #uid contained in between two concentric cylinders standing in a vertical plane. The lower half of the loop is heated while the upper half is cooled, which makes the no-motion stea...

The aim of upscaling is to determine equivalent homogeneous parameters at a coarse-scale from a spatially oscillating fine-scale parameter distribution. A large variety of upscaling methods is available, among which the homogenization method plays an important role. This paper presents an extension of the classical homogenization method to nonlinear problems as they occur while upscaling parame...

Aims. In the interstellar clouds, molecular hydrogens are formed from atomic hydrogen on grain surfaces. An atomic hydrogen hops around till it finds another one with which it combines. This necessarily implies that the average recombination time, or equivalently, the effective grain surface area depends on the relative numbers of atomic hydrogen influx rate and the number of sites on the grain...

This note projects forward into the distant future number of countries existing under regimes different levels economic liberalism by deriving a transition probability matrix from Economic Freedom World data. Naively extrapolating trends 1970-2020 suggests modest majority 165 will be economically free in long-run steady state, with results driven improvements variables associated freedom to tra...

This paper considers the well known Romer model of endogenous technological change and its extension where different intermediate capital goods are complementary, introduced in (Benhabib, Perli, and Xie 1994). They have shown that this modiÞcation allows indeterminate steady state for relatively mild degrees of the complementarity. The authors were able to derive analytically sufficient conditi...