On Modified Symmetries for the Boltzmann Equation

Abstract

first_page settings Order Article Reprints Font Type: Arial Georgia Verdana Font Size: Aa Aa Aa Line Spacing:    Column Width:    Background: Open AccessAbstract On Modified Symmetries for the Boltzmann Equation † by Andrew William Hills Mochaki 1 and Jacob Matshwenyego Manale 2,* 1 Department of Mathematics and Applied Mathematics, University of Limpopo, Sovenga 0727, South Africa 2 Department of Mathematical Sciences, University of South Africa, Science campus, Florida1709, South Africa * Author to whom correspondence should be addressed. † Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017. Proceedings 2018, 2(1), 7; https://doi.org/10.3390/proceedings2010007 Published: 8 February 2018 (This article belongs to the Proceedings of The First International Conference on Symmetry) Download Download PDF Download PDF with Cover Download XML Versions Notes In this contribution, we are using Lie group theoretical methods and a generalized modified symmetry for solving a second-order partial differential equation. In particular, we determine the new Lie point symmetries using modified symmetries for the Boltzmann equation and deduce the corresponding group-invariant solutions. Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Share and Cite MDPI and ACS Style Mochaki, A.W.H.; Manale, J.M. On Modified Symmetries for the Boltzmann Equation. Proceedings 2018, 2, 7. https://doi.org/10.3390/proceedings2010007 AMA Style Mochaki AWH, Manale JM. On Modified Symmetries for the Boltzmann Equation. Proceedings. 2018; 2(1):7. https://doi.org/10.3390/proceedings2010007 Chicago/Turabian Style Mochaki, Andrew William Hills, and Jacob Matshwenyego Manale. 2018. "On Modified Symmetries for the Boltzmann Equation" Proceedings 2, no. 1: 7. https://doi.org/10.3390/proceedings2010007 Find Other Styles Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here. Article Metrics No No Article Access Statistics Multiple requests from the same IP address are counted as one view.