Two conservative difference schemes for the generalized Rosenau equation.
Hu, Jinsong, Zheng, Kelong (2010)
Boundary Value Problems [electronic only]
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Hu, Jinsong, Zheng, Kelong (2010)
Boundary Value Problems [electronic only]
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Zuo, Jin-Ming, Zhang, Yao-Ming, Zhang, Tian-De, Chang, Feng (2010)
Boundary Value Problems [electronic only]
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Goubet, Olivier, Hussein, Manal (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Liang, Zongqi (2009)
Discrete Dynamics in Nature and Society
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Hu, Jinsong, Xu, Youcai, Hu, Bing (2010)
Boundary Value Problems [electronic only]
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Zhong, Penghong, Wang, Shu, Wang, Ke, Bai, Yiping (2010)
Discrete Dynamics in Nature and Society
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John W. Barrett, Linda El Alaoui (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a system of degenerate parabolic equations modelling a thin film, consisting of two layers of immiscible Newtonian liquids, on a solid horizontal substrate. In addition, the model includes the presence of insoluble surfactants on both the free liquid-liquid and liquid-air interfaces, and the presence of both attractive and repulsive van der Waals forces in terms of the heights of the two layers. We show that this system formally satisfies a Lyapunov structure, and a...
Hu, Jinsong, Hu, Bing, Xu, Youcai (2011)
Mathematical Problems in Engineering
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Robert Eymard, Raphaèle Herbin, Anthony Michel (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Models of two phase flows in porous media, used in petroleum engineering, lead to a system of two coupled equations with elliptic and parabolic degenerate terms, and two unknowns, the saturation and the pressure. For the purpose of their approximation, a coupled scheme, consisting in a finite volume method together with a phase-by-phase upstream weighting scheme, is used in the industrial setting. This paper presents a mathematical analysis of this coupled scheme, first showing that...
El Hachimi, Abderrahmane, Ammi, Moulay Rachid Sidi (2005)
International Journal of Mathematics and Mathematical Sciences
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Boulbrachene, M., Saadi, S. (2006)
Advances in Difference Equations [electronic only]
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