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Browsing Research Articles (Mathematics and Applied Mathematics) by Type "Postprint Article"
Now showing items 1-20 of 379
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(Springer, 2015-09)We present a model of biofilm growth in a long channel where the biomass is assumed to have the rheology of a viscous polymer solution. We examine the competition between growth and erosion-like surface detachment due ...
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(Springer, 2011)Building on prior joint work by Mallios and Ntumba, we study transvections (J. Dieudonn´e), a theme already important from the classical theory, in the realm of Abstract Geometric Algebra, referring herewith to symplectic ...
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(Springer, 2014-11)Please read abstract in the article.
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(Taylor and Francis, 2019)This paper focuses on the students who are registered in the University of Pretoria’s academic development programme, named the Four-year Programme (FYP). The programme was introduced as a gateway for students who are ...
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(Duke University Press, 2016)This paper provides a semantic analysis of admissible rules and associated completeness conditions for arbitrary deductive systems, using the framework of abstract algebraic logic. Algebraizability is not assumed, so ...
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(Wiley, 2022-02)Please read abstract in the article.
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Analysis and dynamically consistent nonstandard discretization for a rabies model in humans and dogs (Springer, 2016-09)Rabies is a fatal disease in dogs as well as in humans. A possible model to represent rabies transmission dynamics in human and dog populations is presented. The next generation matrix operator is used to determine the ...
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(Wiley, 2018-11)Fragmentation‐coagulation processes, in which aggregates can break up or get together, often occur together with decay processes in which the components can be removed from the aggregates by a chemical reaction, evaporation, ...
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Analysis of a time implicit scheme for the Oseen model driven by nonlinear slip boundary conditions (Springer, 2016-12)This work is concerned with the time discrete analysis of the Oseen system of equations driven by nonlinear slip boundary conditions of friction type. We study the existence of solutions of the time discrete model and ...
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(Springer, 2017-04)In this work, four finite volume methods have been constructed to solve the 2D convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. We prove existence and uniqueness of ...
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(Elsevier, 2009)The S-layer differential transform produces subsurface conductivity-depth images from Time Domain Electromagnetic (TDEM) data. It is a very fast method, but suffers from high noise levels due to the implementation of two ...
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(Taylor and Francis, 2014)In this work, we study Brinkman-Forchheimer equations driven under slip boundery conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin ...
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(Springer, 2022-10)The tenth Ebola outbreak in the Democratic Republic of Congo (DRC) that occurred from 2018 to 2020 was exacerbated by long-lasting conflicts and war in the region. We propose a deterministic model to investigate the impact ...
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(Springer, 2019-01)In the paper we present a survey of recent results obtained by the author that concern discrete fragmentation–coagulation models with growth. Models like that are particularly important in mathematical biology and ecology ...
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(Elsevier, 2017-10)Angular equivalence is introduced and shown to be an equivalence relation among the norms on a fixed real vector space. It is a finer notion than the usual (topological) notion of norm equivalence. Angularly equivalent ...
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(Wiley, 2017-06)Please read abstract in the article.
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Approximating trees as coloured linear orders and complete axiomatisations of some classes of trees (Cambridge University Press, 2021-09)We study the first-order theories of some natural and important classes of coloured trees, including the four classes of trees whose paths have the order type respectively of the natural numbers, the integers, the rationals, ...
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(American Institute of Mathematical Sciences (AIMS), 2013-09)We study the connection between the long-time dynamics of the 3D magnetohydrodynamic- model and the exact 3D magnetohydrodynamic system. We prove that the trajectory attractor U of the 3D magnetohydrodynamic- model ...
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(Springer, 2017-10)Please read abstract in the article.
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(Elsevier, 2019-04)Please read abstract in the article.
Now showing items 1-20 of 379