In the paper we present an application of the homotopy analysis method for solving the two-phase inverse Stefan problem. In the proposed approach a series is created, having elements which satisfy some differential equation following from the investigated problem. We reveal, in the paper, that if this series is convergent then its sum determines the solution of the original equation. A sufficie...

We consider a local, renormalizable, BRST-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields. It possess a non-perturbative vacuum that spontaneously breaks BRST-invariance. The vacuum condition leads to a gap equation that introduces a mass scale. Calculations are done to one-loop order in a perturbative expansion about this vacuum. They are free of t...

it seems using the maxwell-stefan (m-s) diffusion model in combination with the vacancy solutiontheory (vst) and the single-component adsorption data provides a superior, qualitative, andquantitative prediction of diffusion in zeolites. in the m-s formulation, thermodynamic factor (г) isan essential parameter which must be estimated by an adsorption isotherm. researchers usually utilizethe simp...

The article is an attempt to describe the first years of Stefan Żółkiewski’s scientific activity. author begins by analysing student duties a future researcher, looking for his masters. He also considers theses contained in thesis and concludes with description activity students’ circle known as “Warszawskie Koło Polonistów”. tries point out genesis qualities, which characterize later attitude:...

Recent Research: Slice knots. A knot K ⊂ S is called slice, if it bounds a smooth 2-disk in D. In higher odd dimensions Levine [Le69], [Le69b] found a computable algebraic method of determining whether a knot is slice or not. In 1975 Casson and Gordon [CG86] first found examples which show that the high dimensional results (which relied on the Whitney trick) can not be extended to the case of o...