Modified Thomson problem.

Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law

The Stefan problem with Gibbs-Thomson law describes solidification phenomena for pure substances. In applications the surface energy is anisotropic leading to an anisotropic Gibbs-Thomson law. We show the existence of weak solutions to the Stefan problem with anisotropic Gibbs-Thomson law using an implicit time discretization, and variational methods in an anisotropic BV setting. Our main resul...

An anisotropic, inhomogeneous, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model

Approximation of Crystalline Dendrite Growth in Two Space Dimensions

Abstract. The phase transition between solid and liquid in an undercooled liquid leads to dendritic growth of the solid phase. The problem is modelled by the Stefan problem with a modified Gibbs-Thomson law, which includes the anisotropic mean curvature corresponding to a surface energy that depends on the direction of the interface normal. A finite element method for discretization of the Stef...

An optimal admission control scheme for the wireless ATM networks

In the emerging wireless ATM networks, admission control plays an important role in the QoS guarantee for multiple traffic sources. This paper investigates an optimal admission policy between normal arrivals and handoff arrivals which achieves system efficient while being fair to both traffic classes. Based on the cooperative game theory, we model the fair and efficient admission scenario as a ...

A Correlation for the Prediction of the Adiabatic Joule-Thomson Coefficient of Pure Gases and Gas Mixtures

A correlation based on the general form of cubic equations of state has been derived. This equation provides a convenient mathematical form of the Joule-Thomson coefficient in terms of the state variable V and T. The Joule-Thomson coefficient calculated by this correlation has been compared with experimental data. It has been shown that the Redilich-Kwang equation of state is a suitable equ...