Implementation of Trademark Registration in Pekanbaru

Background. The use of Intellectual Property Rights, especially product brand registration for Micro, Small and Medium Enterprises, has not been running optimally in Indonesia, and especially in the city of Pekanbaru, due to the lack of understanding of home industry entrepreneurs about brands and registration procedures, lack of technical guidance and programmatic socialization from the Regional Government. Purpose. This study aims to analyze the low implementation of product trademark registration for Micro, Small and Medium Enterprises and to analyze the role of the local government of Pekanbaru city in the implementation of product trademark registration for Micro, Small and Medium Enterprises in improving trade business. Method. The approach used in this study is a normative juridical approach and an empirical juridical approach to obtain correct and objective research results. Results. Based on the results of the study, it is known that the implementation of product trademark registration for Micro, Small and Medium Enterprises in Pekanbaru city has not been running as expected, as evidenced in 2022, out of 25,074 trademarks circulating in the market, only 8 (eight) have implemented their trademark registration. Conclusion. Furthermore, it is known that the role of local government in the implementation of trademark registration for Micro, Small and Medium Enterprises in Pekanbaru city is not running as expected, because the local government of Pekanbaru city has not given maximum attention to Micro, Small and Medium Enterprises so that they do not develop and make updates in innovating in accordance with science and technology and community needs

Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products

Higher order finite difference Weighted Essentially Non-Oscillatory (WENO) schemes have been constructed for conservation laws. For multidimensional problems, they offer high order accuracy at a fraction of the cost of a finite volume WENO or DG scheme of comparable accuracy. This makes them quite attractive for several science and engineering applications. But, to the best of our knowledge, such schemes have not been extended to non-linear hyperbolic systems with non-conservative products. In this paper, we perform such an extension which improves the domain of applicability of such schemes. The extension is carried out by writing the scheme in fluctuation form. We use the HLLI Riemann solver of Dumbser and Balsara (2016) as a building block for carrying out this extension. Because of the use of an HLL building block, the resulting scheme has a proper supersonic limit. The use of anti-diffusive fluxes ensures that stationary discontinuities can be preserved by the scheme, thus expanding its domain of applicability. Our new finite difference WENO formulation uses the same WENO reconstruction that was used in classical versions, making it very easy for users to transition over to the present formulation. For conservation laws, the new finite difference WENO is shown to perform as well as the classical version of finite difference WENO, with two major advantages:- 1) It can capture jumps in stationary linearly degenerate wave families exactly. 2) It only requires the reconstruction to be applied once. Several examples from hyperbolic PDE systems with non-conservative products are shown which indicate that the scheme works and achieves its design order of accuracy for smooth multidimensional flows. Stringent Riemann ... *Abstract truncated, see PDF*Comment: Accepted in Communications on Applied Mathematics and Computatio