It is with great sadness that we announce the passing of Professor Stefan H. Mackiewicz on September 28, 2017. Professor Stefan Mackiewicz was an outstanding Polish rheumatologist. He was a graduate of the Medical University of Poznan. After graduation he worked at the Third Department of Internal Medicine in Poznan. In 1967 he became the Chairman of the Department of Rheumatology and Immunolog...

We consider a stochastic perturbation of the Stefan problem. The noise is Brownian in time and smoothly correlated in space. We prove existence and uniqueness and characterize the domain of existence.

Linear stability of double diffusive convection of Darcy-Maxwell fluid with Soret and Dufour effects is investigated. The effects of the Soret and Dufour numbers, Lewis number, relaxation time and solutal Darcy Rayleigh number on the stationary and oscillatory convection are presented graphically. The Dufour number enhances the stability of Darcy-Maxwell fluid for stationary convection while it...

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. ...

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Published experimental data, underpinned by molecular simulations, are used to highlight the strong influence of adsorption thermodynamics on diffusivities of guest molecules inside ordered nanoporous crystalline materials such as zeolites, metal-organic frameworks (MOFs), and zeolitic imidazolate frameworks (ZIFs). For cage-type structures (e.g. LTA, CHA, DDR, and ZIF-8), the variation of the ...

We propose a one-dimensional isothermal hydrodynamic transport model for non-reacting binary mixtures in slit shaped nanochannels. The coupled species momentum equations contain viscous dissipation and interspecies friction term of Maxwell-Stefan form. Species partial viscosity variations in the confinement are modeled using the van der Waals one fluid approximation and the local average densit...

a Jožef Stefan Institute, Department of Knowledge Technologies, Jamova cesta 39, 1000 Ljubljana, Slovenia b Jožef Stefan International Postgraduate School, Jamova 39, 1000 Ljubljana, Slovenia c Dipartimento di Informatica, Università degli Studi di Bari “Aldo Moro”, via Orabona 4, 70125 Bari, Italy d Centre of Excellence for Integrated Approaches in Chemistry and Biology of Proteins, Jamova 39,...

The one-phase reduction of the Stefan problem, where the phase change temperature is a variable, is analysed. It is shown that problems encountered in previous analyses may be traced back to an incorrectly formulated Stefan condition. Energy conserving reductions for Cartesian, cylindrically and spherically symmetric problems are presented and compared with solutions to the two-phase problem.