34 results for “Particular Solutions”

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Research ArticleOpen accessIn the abstractThe Case for Interdisciplinary Environmental Education and ResearchWill Focht, Charles I. AbramsonProblem statement: Interdisciplinary environmental education and research at American colleges and universities have been criticized for ambiguous focus, insufficient integration and lack of rigor. Part of the reason for a clearly articulated conceptualization of the field is the failure to reach a consensus among those in the environmental profession and academic community on an overarching paradigm of environmental education and … …American Journal of Environmental Sciences, Vol. 5, Issue 2 · 30 Apr 2009 · 7,204 accessesView PDF Cite

Research ArticleOpen accessIn the abstractOn a Problem Connected with Navier-stokes Equations in Non Cylindrical DomainsJ. Limaco, S. B. de Menezes, C. Vaz, J. F. MontenegroIn this study we showed the existence of weak solutions of equations that represent flows of a non-homogeneous viscous incompressible fluids in a non cylindrical domain in R3 . The classical Navier-stokes equation is a particular case of the equations here considered. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,610 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordOn the Variational Symmetries of P.D.E's Incorporating Boundary Value ConstraintsUchechukwu Michael Opara, Festus Irimisose Arunaye et al.A crucial interface between Optimization theory, Trace theory, and Lie Symmetry theory is brought to the fore in this paper, as an enhancement of standard known results established in Partial Differential Equation (P.D.E) analysis. In particular, the incorporation of compatible Boundary Value constraints in the re-assessment of admitted variational symmetries is a key process in the development of the discussions … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 22 Jan 2025 · 8,433 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordSimilarity Solutions for Free Convection Between Two Parallel Porous Walls at Different TemperaturesA. J. Omowaye, O. K. KorikoProblem statement: A two dimensional steady laminar free convective flow of viscous incompressible fluid between two parallel porous walls is considered. Approach: Using the similarity variable, the partial differential equations were reduced to ordinary differential equations. The coupled ordinary differential equations were solved numerically using shooting method. The effect of various physical parameters, such as the Prandtl number, Grashof number, … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,783 accessesView PDF Cite