High-order lattice Boltzmann methods provide an elegant and systematic way to incorporate thermal compressible effects represent a promising approach for the study of beyond-hydrodynamics regimes characterized by finite Knudsen numbers. However, presence multiple layers makes definition boundary conditions non-trivial, since one needs define missing information particle distributions across sev...

The quest for optimal/stable paths in graphs has gained attention in a few practical or theoretical areas. To take part in this quest this chapter adopts an equilibrium-oriented approach that is abstract and general: it works with (quasi-arbitrary) arc-labelled digraphs, and it assumes very little about the structure of the sought paths and the definition of equilibrium, i.e. optimality/stabili...

in this paper, the large amount of sedimentation and the resultant shoreline advancements at the breakwaters of beris fishery port are studied. a series of numerical modeling of waves, sediment transport, and shoreline changes were conducted to predict the complicated equilibrium shoreline. the outputs show that the nearshore directions of wave components are not perpendicular to the coast whic...

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows the selection of specif...

This note examines equilibrium existence of Nash-Bertrand pricing games with discrete-choice models of demand. We provide a sufficient and necessary condition on the distribution of firm idiosyncratic shocks for best response correspondences to exhibit monotonicity. We then use Tarski’s fixed point result to show that the condition we provide generates a unique pure-strategy equilibrium. Moreov...

the efficiency of a collar in reducing the scour depth around circular and rectangular piers is studied at different flow intensities (ratio of upstream shear stress to sediment critical shear stress). rectangular piers aligned with the flow as well as skewed at 5º, 10º, 20º were examined. previous studies had shown that with collar the equilibrium time of scouring increases considerably. to re...

A constitutive model based on two–dimensional unstructured Galerkin finite volume method (GFVM) is introduced and applied for analyzing nonlinear behavior of cracked concrete structures in equilibrium condition. The developed iterative solver treats concrete as an orthotropic nonlinear material and considers the softening and hardening behavior of concrete under compression and tension by using...

We introduce consumption externalities into a general equilibriummodel with arbitrary consumption sets. To treat the problem of existence of equilibrium, a condition of no unbounded arbitrage, extending the condition of Page (1987) and Page and Wooders (1993,1996) is defined. It is proven that this condition is sufficient for the existence of an equilibrium and both necessary and sufficient for...

In this paper, we postulate a general class of price competition models with Mixed Multinomial Logit demand functions under affine cost functions. We first characterize the equilibrium behavior of this class of models in the case where each product in the market is sold by a separate, independent firm and customers share a common income level. We identify a simple and very broadly satisfied con...