One and two phase Stefan problems for the linear heat equation have been the subject of many studies in the past [1, 2]. Indeed these problems have a great physical relevance since they provide a mathematical model for the processes of phase changes [3, 4]. The boundary between the two phases is a free boundary: its motion has to be determined as part of the solution. More recently the previous...

Dialectical Frameworks Revisited∗ Gerhard Brewka and Stefan Ellmauthaler and Hannes Strass Institute of Computer Science, Leipzig University Johannes Peter Wallner and Stefan Woltran Institute of Information Systems, Vienna University of Technology

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...

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...

We reduce the two phase Stefan problem with kinetic to a system of nonlinear Volterra integral equations of second kind and apply Newton's method to linearize it. We found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with an example.