Reaction-advection-diffusion equation
Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming.
... the advection-reaction-diffusion ...(HJB) equation, as presented in [13]. However, the fact that such an equation is defined over a state space of the same dimension as the ...
8
Simulation of a time dependent advection-reaction-diffusion problem using operator splitting and discontinuous Galerkin methods with application to plant root growth
... time-dependent advection-reaction-diffusion equation, and one of the challenge is to numerically solve the ...the advection and diffusion terms are not always of the same order ...
20
An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems
... The paper is organized as follows. In section 2 we recall the basic definitions and useful prop- erties of the Wasserstein-Fisher-Rao distance WFR. Section 3 contains the precise description of the splitting scheme and a ...
27
Propagation in a Fisher-KPP equation with non-local advection *
... the advection is ...without advection. Since the Fisher-KPP equation moves at speed 2 without advection, we expect propagation in our model to be no faster than ...
47
Cascadic multigrid for the advection-diffusion equation
... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ...
19
Equations de reaction diffusion non-locale
... de diffusion γ∆u est remplacé par un opérateur intégral de la forme J ?u−u, où J peut être assimilé à une densité de probabilité et J ?u(x) = R Ω J(x ...de diffusion mixte, c’est-à-dire composés d’une ...
149
Dynamical behavior of a nondiffusive scheme for the advection equation
... FOR THE ADVECTION EQUATION by Nina Aguillon & Pierre-Antoine Guih´eneuf Abstract. — We study the long time behaviour of a dynamical system strongly linked to the nondiffusive scheme of Despr´es and ...
28
Advection and diffusion in a chemically induced compressible flow
... and diffusion balance (Batchelor ...(2011)). Diffusion and diffusiophoresis are examined in light of the area dilation factor of the patches, in which diffusive and diffusiophoretic effects are shown to be ...
17
Controllability and observability of an artificial advection-diffusion problem
... Artificial advection-diffusion problem In the present paper we deal with an advection-diffusion problem with small viscosity truncated in one space ...linear advection diffusion ...
21
Stability estimates for some parameters of a reaction-diffusion equation coupled with an ODE
... a reaction parameter Due to the writing of f in ...second equation in (1.1) and that the first equation of ...a reaction- diffusion equation with a memory ...
9
Local Input-to-State Stabilization of 1-D Linear Reaction-Diffusion Equation with Bounded Feedback
... Linear Reaction-Diffusion Equation with Bounded Feedback Aneel Tanwani Swann Marx Christophe Prieur Abstract— The problem of robust stabilization with bounded feedback control is considered for a ...
7
Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation.
... wave equation and [ 12 ] for the numerical controllability of the heat, Stokes and Navier-Stokes ...heat equation with a double exponential and new weights involving single exponentials which are introduced ...
38
Multiscale finite element methods for advection-diffusion problems
... particular equation is nevertheless rather to be seen as a step toward the study of the following much more relevant case : an (single-scale) advection-diffusion equation, with a dominating ...
220
Fast propagation in reaction-diffusion equations with fractional diffusion
... For this problem, all the steps described in the method have to be carried out. Step 1, that concerns the existence and uniqueness of the solution and a comparison principle for classical solutions, is done using the ...
176
Perfectly Matched Layers for the heat and advection-diffusion equations
... heat equation for various bound- ary conditions: Neumann homogeneous (N), Dirichlet homogeneous (D), and Perfectly Matched Layers (PML) going to deal with an advection dominated equation and a simple ...
18
Trend to equilibrium for a reaction-diffusion system modelling reversible enzyme reaction
... In 1925, the enzyme reaction (1) was analysed by Briggs and Haldane [3] by using ordinary differential equations (ODE) derived from mass action kinetics. In their quasi-steady state approximation (QSSA), the ...
21
Etude numérique et expérimentale du transfert de masse, par advection et diffusion en écoulement pulsé, sur des stents actifs.
... diffusion en écoulement pulsé, sur des stents actifs. RÉSUMÉ : La perturbation des écoulements au voisinage de la paroi artérielle équipée d’un stent joue un rôle prépondérant dans l’apparition et le ...
191
Numerical analysis of the advection-diffusion of a solute in random media
... the advection-diusion equation, we focus on the advection-dominated ... ow equation is computed by using nite ...the advection-diusion equation is approximated using a ...
31
Reduction to a single closed equation for 2 by 2 reaction-diffusion systems of Lotka-Volterra type
... one of the limiting system. However, for = .6, the introduced population goes extinct, and p does not behave as in the limiting model. This illustrates how the 2 by 2 system qualitatively differs from the limit ...
21
Assessing lateral flows and solute transport during floods in a conduit-flow-dominated karst system using the inverse problem for the advection-diffusion equation
... wave equation and the advection– diffusion equation with the same mathematical approach, as- suming uniform lateral flow and solute ...the advection–diffusion equations is then ...
20