Convection-diffusion equations
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations
... anisotropic convection-diffusion equations set in a bounded bidimensional domain and endowed with either Dirichlet and / or no-flux boundary ...
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Large-time behaviour of a family of finite volume schemes for boundary-driven convection-diffusion equations
... of convection-diffusion equations or systems endowed with non-homogeneous Dirich- let and Neumann type boundary ...Fokker-Planck equations, porous media equations or ...
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A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
... the date of receipt and acceptance should be inserted later Abstract We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise ...
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Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations
... Abstract We study the existence of global weak solutions in a three-dimensional time-dependent bounded domain for the incompressible Vlasov-Navier- Stokes system which is coupled with two ...
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Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations
... of convection-diffusion fluxes and widely used later for the simulation of semiconductor devices, preserve the thermal ...anisotropic convection-diffusion ...
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Exponential decay to equilibrium of nonlinear DDFV schemes for convection-diffusion equations
... MSC (2010): 65M08, 35B40. 10 1 Motivation We are interested in the numerical discretization of linear anisotropic convection- diffusion equations on almost general meshes. Let Ω be a polygonal ...
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Asymptotic profiles of solutions to convection-diffusion equations
... de convection-diffusion ...de convection non lin´eaire (|u| q ) x , et le but de notre ´etude est de d´eterminer lequel de ces deux termes devient pr´epond´erant lorsque t → ...
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A nonlinear Discrete Duality Finite Volume Scheme for convection-diffusion equations
... Acknowledgements The authors are supported by the Inria teams RAPSODI and COFFEE, the LabEx CEMPI (ANR-11-LABX-0007-01) and the GEOPOR project (ANR-13-JS01-0007-01). References 1. Andreianov, B., Bendahmane, M., Karlsen, ...
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Homogenization of singular convection-diffusion equations and indefinite spectral problems
... that this problem cannot be solved in the case of general bounded domain. However, it is getting feasible in some special cases when the periodic structure agrees with the geometry of the boundary of Ω. In Paper G we ...
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The Discrete Duality Finite Volume Method for Convection Diffusion Problems
... order convection flux, this approach is applied to the numerical discretization of non-coercive convection-diffusion equations in ...anisotropic diffusion problems [20], in modeling ...
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Estimations a posteriori pour l'équation de convection-diffusion-réaction instationnaire et applications aux volumes finis
... de convection–diffusion–réaction linéaire et instationnaire discrétisée en espace par la méthode des volumes finis centrés par mailles et le schéma d’Euler implicite en ...de convection dominante, ...
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Improved interpolation inequalities, relative entropy and fast diffusion equations
... evolution equations and improved entropy - entropy production estimates along the associated ...evolution equations, which can be interpreted as the best fit of the solution in the asymptotic regime among ...
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Shape optimization and spatial heterogeneity in reaction-diffusion equations
... Reaction-diffusion equations have drawn a lot of attention from the mathematical community over the last decades, but most usually in spatially homogeneous setting, while the lit- erature devoted to ...
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Validation of averaged equations for thermal vibrational convection in near-critical fluids
... Abstract Within an averaging approach, the governing equations and effective boundary conditions describing both the average and pulsation motion of a near-critical fluid subjected to hi[r] ...
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Validation of averaged equations for thermal vibrational convection in near-critical fluids
... Abstract Within an averaging approach, the governing equations and effective boundary conditions describing both the average and pulsation motion of a near-critical fluid subjected to hi[r] ...
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Asymptotic behaviour of reversible chemical reaction-diffusion equations
... 1.1 Mathematical model Throughout the entire paper we will assume that all species diffuse with the same speed, i.e. for all i ∈ {1, · · · , q}, L i = L, where L is general diffusion generator. (While this is a ...
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Heat convection in a vertical channel : Plumes versus turbulent diffusion
... The second cell is hanged by the cold plate, whose temperature is fixed by a regulating water bath. Then, nothing except air is in contact with the hot plate. We could not hang the first cell the same way. Its hot plate ...
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Transition fronts for periodic bistable reaction-diffusion equations
... bistable equations, the existence and qualitative properties of standard traveling, pulsating or transition fronts have been investigated by Alikakos, Bates and Chen [2], Fang and Zhao [18], and Shen [44, 45, 46, ...
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Large time behaviour of solutions to nonhomogeneous diffusion equations
... E-mail: karch@math.uni.wroc.pl http://www.math.uni.wroc.pl/∼karch Abstract. This note is devoted to the study of the long time behaviour of the solutions to the heat and the porous medium equations in the presence ...
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Monotonicity condition for the $\theta$-scheme for diffusion equations
... la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou ...
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