Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Maureen P. Edwards"'
Publikováno v:
Entropy, Vol 22, Iss 2, p 248 (2020)
Entropy
Volume 22
Issue 2
Entropy
Volume 22
Issue 2
Dye-sensitized solar cells offer an alternative source for renewable energy by means of converting sunlight into electricity. While there are many studies concerning the development of DSSCs, comprehensive mathematical modelling of the devices is sti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdbe6779e00b5db48226bed4801f3582
https://pubmed.ncbi.nlm.nih.gov/33286022
https://pubmed.ncbi.nlm.nih.gov/33286022
Publikováno v:
SN Applied Sciences. 1
Isothermal kinetic models based upon quadratic and cubic autocatalysis have been widely investigated as model schemes for a variety of chemical systems. A standard assumption in such models is that the process is being investigated in a continuously
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7800998be177209cd52036171345f25
https://doi.org/10.1007/s42452-019-1080-5
https://doi.org/10.1007/s42452-019-1080-5
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 22:1062-1067
For growth in a closed environment, which is indicative of the situation in laboratory experiments, autonomous ODE models do not necessarily capture the dynamics under investigation. The importance and impact of a closed environment arise when the qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92e9e9381bfd4021544a3db1f5e1cae2
https://doi.org/10.1016/j.cnsns.2014.08.033
https://doi.org/10.1016/j.cnsns.2014.08.033
Autor:
Maureen P. Edwards, Peter M. Waterhouse, María Jesús Munoz-Lopez, B. H. Bradshaw-Hajek, Robert S. Anderssen
Publikováno v:
Agriculture as a Metaphor for Creativity in All Human Endeavors ISBN: 9789811078101
Lie group analysis is one of the most useful techniques for analyzing the analytic structure of the solutions of differential equations. Here, reaction–diffusion (RD) modelling of biological invasion is used to illustrate this fact in terms of iden
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfa2b66438e3d886a19b57f3e063b039
https://hdl.handle.net/11541.2/134385
https://hdl.handle.net/11541.2/134385
Publikováno v:
Journal of Mathematical Chemistry. 52:2234-2258
We provide a detailed, and thorough, investigation into the concentration multiplicity and dynamic stability of a prototype non-linear chemical mechanism: quadratic autocatalysis subject to non-linear decay in a continuously stirred tank reactor. Thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5038bfd9e03d7d84d7f8699dd9b2010
https://doi.org/10.1007/s10910-014-0382-5
https://doi.org/10.1007/s10910-014-0382-5
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 67
The spread of a virus through the leaf of a plant is both spatially and temporally causal in that the present status depends on the past and the spatial spread is compactly supported and progresses outwards. Such spatial spread is known to occur for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::532ea45842ec9ea79a7b75ec9dee370c
https://doi.org/10.1007/s00033-016-0707-2
https://doi.org/10.1007/s00033-016-0707-2
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 67:2541-2552
Nonclassical symmetry methods are used to study the linear diffusion equation with a nonlinear source term which includes explicit spatial dependence. Mathematical forms for the spatial dependence are found which enable strictly nonclassical symmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19973c78f5d2fdc0aed2aaa20a1eaf3e
https://doi.org/10.1016/j.na.2006.09.022
https://doi.org/10.1016/j.na.2006.09.022
Autor:
Alexander Gerhardt-Bourke, James McCoy, Maureen P. Edwards, Glen Wheeler, Valentina-Mira Wheeler
In this article we investigate the dynamics of special solutions to the surface diffusion flow of idealised ribbons. This equation reduces to studying the curve diffusion flow for the profile curve of the ribbon. We provide: (1) a complete classifica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2bb66ed6585d36e1c05bf1726593ac8
http://arxiv.org/abs/1505.02978
http://arxiv.org/abs/1505.02978
Publikováno v:
Mathematical biosciences. 270
Semi-analytical solutions for the diffusive Lotka-Volterra predator-prey system with delay are considered in one and two-dimensional domains. The Galerkin method is applied, which approximates the spatial structure of both the predator and prey popul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3350d7e3352a9eb44dc19cd30da8d59
https://pubmed.ncbi.nlm.nih.gov/26471317
https://pubmed.ncbi.nlm.nih.gov/26471317
Publikováno v:
Quaestiones Mathematicae; Vol 29, No 1 (2006); 73-83
We consider a form of the solute transport equation in streamline coordinates. Symmetry analysis of the equation for solute transport with realistic water flows, result in a number of admitted nontrival classical Lie point symmetries. Reduction by on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::676e25b1bc3a9f0650eaf0163e414066
https://doi.org/10.2989/16073600609486150
https://doi.org/10.2989/16073600609486150