نتایج جستجو برای: advection diffusion reaction equation

تعداد نتایج: 775678  

Journal: :Calculus of Variations and Partial Differential Equations 2022

A reaction–diffusion–advection predator–prey model with Holling type-II predator functional response is considered. We show the stability/instability of positive steady state and existence a Hopf bifurcation when diffusion advection rates are large. Moreover, we that rate can affect not only occurrence bifurcations but also values bifurcations.

Journal: :SIAM J. Scientific Computing 2004
A. M. Sauer-Budge Jaime Peraire

We present a cost effective method for computing quantitative upper and lower bounds on linear functional outputs of exact weak solutions to the advection-diffusion-reaction equation and we demonstrate a simple adaptive strategy by which such outputs can be computed to a prescribed precision. The bounds are computed from independent local subproblems resulting from a standard finite element app...

Journal: :J. Sci. Comput. 2007
Erik Burman Benjamin Stamm

We consider a discontinuous Galerkin finite element method for the advection–reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater than or equal to two on triangles we propose a method where stability is obtained by a penalization of only the upper portion of the polynomial spectrum of the jump of the solution over element edges. We prove stability in ...

Journal: :The Journal of chemical physics 2014
Sainyam Galhotra J K Bhattacharjee Bijay Kumar Agarwalla

We show that in a reaction diffusion system on a two-dimensional substrate with advection in the confined direction, the drift (advection) induced instability occurs through a Hopf bifurcation, which can become a double Hopf bifurcation. The box size in the direction of the drift is a vital parameter. Our analysis involves reduction to a low dimensional dynamical system and constructing amplitu...

Journal: :SIAM J. Numerical Analysis 2011
Garth N. Wells

Analysis of an interface stabilised finite element method for the scalar advectiondiffusion-reaction equation is presented. The method inherits attractive properties of both continuous and discontinuous Galerkin methods, namely the same number of global degrees of freedom as a continuous Galerkin method on a given mesh and the stability properties of discontinuous Galerkin methods for advection...

Journal: :International Journal Of Engineering & Applied Sciences 2017

Journal: :SIAM Journal on Numerical Analysis 2022

We propose and analyze an optimal mass transport method for a random genetic drift problem driven by Moran process under weak-selection. The continuum limit, formulated as reaction-advection-diffusion equation known the Kimura equation, inherits degenerate diffusion from discrete stochastic that conveys to blow-up into Dirac-delta singularities hence brings great challenges both analytical nume...

2015
J. R. Zabadal B. Bodmann V. G. Ribeiro A. Silveira S. Silveira

This work presents a new analytical method to transform exact solutions of linear diffusion equations into exact ones for nonlinear advection-diffusion models. The proposed formulation, based on Bäcklund transformations, is employed to obtain velocity fields for the unsteady two-dimensional Helmholtz equation, starting from analytical solutions of a heat conduction type model.

Journal: :Optics express 2008
Qianqian Fang Sava Sakadzić Lana Ruvinskaya Anna Devor Anders M Dale David A Boas

There is an increasing need for quantitative and computationally affordable models for analyzing tissue metabolism and hemodynamics in microvascular networks. In this work, we develop a hybrid model to solve for the time-varying oxygen advection-diffusion equation in the vessels and tissue. To obtain a three-dimensional temporal evolution of tissue oxygen concentration for realistic complex ves...

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