Amathematical model for the diffusion process of ferromagnetic particles in a magnetic fluid is described. The unique solvability of the steady-state particle concentration problem is investigated and an analytical expression for its solution is found. In case that the fluid is under the action of a high-gradient magnetic field a Stefan-type diffusion problem can arise. An algorithm for solving...

We study a nonlocal version of the one-phase Stefan problem which develops mushy regions, even if they were not present initially, a model which can be of interest at the mesoscopic scale. The equation involves a convolution with a compactly supported kernel. The created mushy regions have the size of the support of this kernel. If the kernel is suitably rescaled, such regions disappear and the...

CO2 capture and further conversion into valuable products can be a promising solution against global warming. Normally, CO2 conversion can be achieved by chemical methods, by photocatalytic and electrocatalytic reduction [1]. Specifically for electrocatalytic reduction of CO2, challenges remain, such as the slow kinetics of CO2 electro-reduction, even when high electrode reduction potential are...

We employ high-temperature molecular dynamics to investigate self-transport and cooperative transport of benzene in NaX (Si:Al ) 1.2). We have refined the benzene-NaX force field for use with our previously developed framework force field for aluminosilicates, which explicitly distinguishes between Si and Al atoms in the frame, and also between oxygen atoms in Si-O-Si and Si-O-Al environments. ...

1. Introduction The classical Stefan problem is a model for phase transitions in solid-liquid systems and accounts for heat diiusion and exchange of latent heat in a homogeneous medium. The strong formulation of this model corresponds to a moving boundary problem involving a parabolic diiusion equation for each phase and a transmission condition prescribed at the interface separating the phases...

Brent Hoon (Brent ByungHoon Kang, UNC at Charlotte) said that although Conficker had been contained (by buying up the domain names to be used in C&C) in 2009, Conficker has never disappeared. They are still seeing hits, and there appear to be about six million IP addresses that show signs of infection. Stefan Savage wondered how you could economically get patches to six million people. Someone ...