Stability Analysis of Turing Patterns Generated by the Schnakenberg Model

We consider the following Schnakenberg model on the interval (−1, 1): ut = D1u − u + vu2 in (−1, 1), vt = D2v + B − vu2 in (−1, 1), u (−1) = u (1) = v (−1) = v (1) = 0, where D1 > 0, D2 > 0, B>0. We rigorously show that the stability of symmetric N−peaked steady-states can be reduced to computing two matrices in terms of the diffusion coefficients D1,D2 and the number N of peaks. These matrices and their spectra are calculated explicitly and sharp conditions for linear stability are derived. The results are verified by some numerical simulations

Receipt from Hecla Iron Works

https://digitalcommons.salve.edu/goelet-new-york/1188/thumbnail.jp

Mediation on Industrial Relation Dispute and Its Relation with Relative Authority in the Legal Proceedings Process

Industrial Relations or Employment in the Indonesia legal system is based on Law No 13 of 2003 on Employment, and the Law No 2 of 2004 concerning Industrial Relations Dispute Settlement. The industrial relations are expected to be harmonious and give positive mutual engagement in the effort to support the development of Indonesian society and to improve the welfare of the Indonesian people, especially the workers or the labors. The desired goal is still far from the expectations if seeing the practice of industrial relations. The aim of the research was to get a better understanding of the practice and theory following the laws which regulated the procedures of employment as well as technical aspects. The research method applied was library research. There was some positive law approaches related to this research, which consisted of several rules as the normative law, such as Law No 2 of 2004, Act Number 30 of 1999, and PERMA No 1 of 2008. The research finds that the dispute of industrial relations as mentioned in Article 4 PERMA No 1 of 2008, Article 8 of Law No 2 of 2004, and Article 136 paragraph (2) of Act 13 of 2003. It explains and requires the mediation process before going into the courts of first instance (in this case is the Industrial Relations Court). The mediation process is led by a mediator who has the authority to conduct industrial relations dispute resolution processes in their jurisdiction. Industrial relations mediator does not have the authority to process the industrial relations dispute if the case territory is not located within its jurisdiction. As for, the relative authority of this provide an understanding that mediator aims to resolve disputes in industrial relations must apply the principle of locus delictus as a manifestation of its authority under the jurisdiction of the law

Potential energy surface of the 2A' Li2+Li doublet ground state

The lowest doublet electronic state for the lithium trimer (2A') is calculated for use in three-body scattering calculations using the valence electron FCI method with atomic cores represented using an effective core potential. It is shown that an accurate description of core-valence correlation is necessary for accurate calculations of molecular bond lengths, frequencies and dissociation energies. Interpolation between 2A' ab initio surface data points in a sparse grid is done using the global interpolant moving least squares method with a smooth radial data cutoff function included in the fitting weights and bivariate polynomials as a basis set. The Jahn-Teller splitting of the 2E' surface into the 2A1 and 2B2 states is investigated using a combination of both CASSCF and FCI levels of theory. Additionally, preliminary calculations of the 2A'' surface are also presented using second order spin restricted open-shell Moller-Plesset perturbation theory.Comment: 7 pages, 5 figure