Extinction and non-extinction of solutions for a nonlocal reaction-diffusion problem.
Liu, Wenjun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions.”
Extinction and non-extinction of solutions for a nonlocal reaction-diffusion problem.
Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.
Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Asymptotic behavior of a periodic diffusion system.
Li, Songsong, Hui, Xiaofeng (2010)
Journal of Inequalities and Applications [electronic only]
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Rothe time-discretization method for a nonlocal problem arising in thermoelasticity.
Merazga, Nabil, Bouziani, Abdelfatah (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Mathematical and numerical analysis of a stratigraphic model
Véronique Gervais, Roland Masson (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we consider a multi-lithology diffusion model used in stratigraphic modelling to simulate large scale transport processes of sediments described as a mixture of lithologies. This model is a simplified one for which the surficial fluxes are proportional to the slope of the topography and to a lithology fraction with unitary diffusion coefficients. The main unknowns of the system are the sediment thickness , the surface concentrations in lithology of the sediments...
Initial-boundary value problem with a nonlocal condition for a viscosity equation.
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
Nicolas Bouillard, Robert Eymard, Raphaele Herbin, Philippe Montarnal (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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Modeling the kinetics of a precipitation dissolution reaction occurring in a porous medium where diffusion also takes place leads to a system of two parabolic equations and one ordinary differential equation coupled with a stiff reaction term. This system is discretized by a finite volume scheme which is suitable for the approximation of the discontinuous reaction term of unknown sign. Discrete solutions are shown to exist and converge towards a weak solution of the continuous...