A new formulation of the equivalent thermal in optimization of hydrothermal systems.
Bayón, L., Grau, J.M., Suárez, P. (2002)
Mathematical Problems in Engineering
Ricardo H. Nochetto (1986)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Merkin, J.H., Kumaran, V. (1992)
International Journal of Mathematics and Mathematical Sciences
Mahmoud, Mostafa A.A. (2007)
Mathematical Problems in Engineering
Bates, Peter W., Chen, Xinfu, Deng, Xinyu (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Antontsev, S.N., Meirmanov, A.M., Yurinsky, V.V. (2001)
Portugaliae Mathematica. Nova Série
Andrews, K.T., Guessous, L., Nassar, S., Putta, S.V., Shillor, M. (2006)
Journal of Applied Mathematics
Todd Arbogast, Clint N. Dawson, Mary F. Wheeler (1995)
Applications of Mathematics
We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport and reactions...
Guillaume Dufour, Philippe Villedieu (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The aim of this paper is to present a method using both the ideas of sectional approach and moment methods in order to accurately simulate evaporation phenomena in gas-droplets flows. Using the underlying kinetic interpretation of the sectional method [Y. Tambour, Combust. Flame 60 (1985) 15–28] exposed in [F. Laurent and M. Massot, Combust. Theory Model. 5 (2001) 537–572], we propose an extension of this approach based on a more accurate representation of the droplet size number density in each...
Guillaume Dufour, Philippe Villedieu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The aim of this paper is to present a method using both the ideas of sectional approach and moment methods in order to accurately simulate evaporation phenomena in gas-droplets flows. Using the underlying kinetic interpretation of the sectional method [Y. Tambour, Combust. Flame60 (1985) 15–28] exposed in [F. Laurent and M. Massot, Combust. Theory Model.5 (2001) 537–572], we propose an extension of this approach based on a more accurate representation of the droplet size number density in each...
Vaz, Cristina, Boldrini, José Luiz (2006)
Portugaliae Mathematica. Nova Série
H. Berestycki, Bernard Larrouturou (1989)
Journal für die reine und angewandte Mathematik
Hideki Murakawa (2009)
Kybernetika
This paper deals with nonlinear diffusion problems involving degenerate parabolic problems, such as the Stefan problem and the porous medium equation, and cross-diffusion systems in population ecology. The degeneracy of the diffusion and the effect of cross-diffusion, that is, nonlinearities of the diffusion, complicate its analysis. In order to avoid the nonlinearities, we propose a reaction-diffusion system with solutions that approximate those of the nonlinear diffusion problems. The reaction-diffusion...
Urbano, José Miguel (1995)
Portugaliae Mathematica
Kotov, N.V., Baker, R.E., Dawidov, D.A., Platov, K.V., Valeyev, N.V., Skorinkin, A.I., Maini, P.K. (2007)
Computational & Mathematical Methods in Medicine
A. Fasano, L. Fusi, S. Correra, M. Margarone (2011)
Mathematical Modelling of Natural Phenomena
Waxy Crude Oils (WCO’s) are characterized by the presence of heavy paraffins in sufficiently large concentrations. They exhibit quite complex thermodynamical and rheological behaviour and present the peculiar property of giving rise to the formation of segregated wax deposits, when temperature falls down the so called WAT, or Wax Appearance Temperature. In extreme cases, segregated waxes may lead to pipeline occlusion due to deposition on cold walls....
Shidfar, A., Zakeri, A., Neisi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
Antic, Alexsandar, Hill, James M. (2003)
Journal of Applied Mathematics and Decision Sciences
Alves, M. (2000)
Memoirs on Differential Equations and Mathematical Physics
A. Visintin, A. Fasano, E. Magenes, C. Verdi (1998)
Bollettino dell'Unione Matematica Italiana