Results 81 to 90 of about 469,036 (195)

Decay Process for Three - Species Reaction - Diffusion System

, 1999
We propose the deterministic rate equation of three-species in the reaction - diffusion system. For this case, our purpose is to carry out the decay process in our three-species reaction-diffusion model of the form $A+B+C\to D$.
Avnir D., Cornell S., Cornell S., Dee G. T., Heidel B., Henisch H. K., Mueller K. F., Taitelbaum H., Yen A., Yen A.   +9 more
core   +1 more source

Particle Systems and Reaction-Diffusion Equations

The Annals of Probability, 1994
Consider the particle system with spin space \(\{0,1\}\) on \(S=\varepsilon{\mathbb{Z}}^ d\quad (\varepsilon>0)\). At each site \(x\), the death \((t\to 0)\) rate is fixed to be 1 and the birth \((0\to 1)\) rate depends on a finite range with parameter \(\beta>0\).
Durrett, R., Neuhauser, C.
openaire   +3 more sources

Algorithms for numerical solving of 2D anomalous diffusion problems

Mathematical Modelling and Analysis, 2012
Fractional analog of the reaction diffusion equation is used to model the subdiffusion process. Diffusion equation with fractional Riemann–Liouville operator is analyzed in this paper.
Natalia Abrashina-Zhadaeva, Natalie Romanova   +1 more
doaj   +1 more source

Entropy of scalar reaction-diffusion equations [PDF]

Mathematica Bohemica, 2014
We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero.
openaire   +2 more sources

Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model

AIP Advances, 2012
For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of ...
A. K. Dutt
doaj   +1 more source

Travelling waves in nonlinear diffusion-convection-reaction [PDF]

, 2001
The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes.
Gilding, B.H., Kersner, R.
core   +1 more source

A single reaction-diffusion equation for the multifarious eruptions of urticaria. [PDF]

PLoS Comput Biol, 2020
Seirin-Lee S, Yanase Y, Takahagi S, Hide M.   +3 more
europepmc   +1 more source

Regularity and wave study of an advection–diffusion–reaction equation

Scientific Reports
In this paper, we investigate the optimal conditions to the boundaries where the unique existence of the solutions to an advection-diffusion-reaction equation is secured by applying the contraction mapping theorem from the study of fixed points. Also, we
Ali Akgül, Nauman Ahmed, Muhammad Shahzad, Muhammad Zafarullah Baber, Muhammad Sajid Iqbal, Choon Kit Chan   +5 more
doaj   +1 more source

Accurate reaction-diffusion limit to the spherical-symmetric Boltzmann equation

Physical Review Research
We resolve a long-standing question regarding the suitable effective diffusion coefficient of the spherical-symmetric transport equation, which is valid at long times.
Shay I. Heizler, Menahem Krief, Michael Assaf   +2 more
doaj   +1 more source

Effects of Anisotropy, Convection, and Relaxation on Nonlinear Reaction-Diffusion Systems

Computation
The effects of relaxation, convection, and anisotropy on a two-dimensional, two-equation system of nonlinearly coupled, second-order hyperbolic, advection–reaction–diffusion equations are studied numerically by means of a three-time-level linearized ...
Juan I. Ramos
doaj   +1 more source