Advection–reaction equationComputational hemodynamicsChange of variableFinite element methodDiscontinuity capturingVentricular assist deviceWe propose a change of variable approach and discontinuity capturing methods to ensure physical constraints for advection-reaction equations discretized by the finite element ...
Advection-reaction equationDiffusion equationAsymptotic stabilityOxygen transportAlveolar capillary35B4035Q80We deal with a simple model for oxygen transport in alveolar capillaries with exchange of oxygen between the capillaries and alveoli. This model is described by a weakly coupled three-component system...
1. Mathematical model of the problem is a one-dimension linear advection-dispersion-reaction equation, in which source term is expressed as F ( x , t ) = λ (t )δ ( x - s). 该问题的数学模型为一维线性对流反应扩散方程,方程的源项F(x,t)表示了污染源是一个随时间变化的点污染源。
We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection–diffusion–reaction equation, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. Our focus is on proving estimates that are needed for the...
Arroyo, "A Eulerian- Lagragian localized adjoint method for the nonlinear advection-diffusion-reaction equation", In V.N. Burganos, G.P. Karatzas, A.C. Payatakes, C.A. Brebbia, W.G. Gray, and G.F. Pinder (editors), Computational methods in water resources XII, Computational ...
We study the Lyapunov asymptotic stability of the stationary solution of the spatially one-dimensional initial–boundary value problem for a nonlinear singularly perturbed differential equation of the reaction–diffusion–advection (RDA) type in the case where the advection and reaction terms undergo a ...
Numerical analysis of a least-squares finite element method for the time-dependent advection–diffusion equation A mixed finite element scheme designed for solving the time-dependent advection–diffusion equations expressed in terms of both the primal unknown and its ... C R.,Leal,Toledo,... - ...
Firstly, we present a spreading–vanishing dichotomy for the asymptotic behavior of the solutions of the equation. Then, we obtain criteria for spreading and vanishing, and get an estimate for the asymptotic spreading speed of the spreading front. Moreover, numerical simulation is also given to ...
Blow up for a diffusion-advection equation SynopsisThese results describe the asymptotic behaviour of solutions to a certain non-linear diffusionadvection equation on the unit interval. The no flux ... ND Alikakos,PW Bates,CP Grant - 《Proceedings of the Royal Society of Edinburgh》 被引量: 48...
DNN functions are nonlinear functions of the parameters. Hence, the advection-reaction equation will be discretized through least-squares principles. In the context of finite element approximations, several least-squares methods have been studied (see, e.g., [1], [2], [3], [8], [10], [...