Results 91 to 100 of about 893,395 (191)

Existence and Stability of Propagating Fronts for an Autocatalytic Reaction-Diffusion System

, 1997
We study a one-dimensional reaction-diffusion system which describes an isothermal autocatalytic chemical reaction involving both a quadratic (A + B -> 2B) and a cubic (A + 2B -> 3B) autocatalysis.
Aronson, Ben-Jacob, Berlyand, Billingham, Bricmont, Bricmont, Collet, Eckmann, Fabes, Focant, Gallay, Gallay, Gallay, Haraux, Horváth, Kapitula, Kirchgässner, Kirchgässner, Martin, Masuda, Pazy, Pego, S. Focant, Sattinger, Th. Gallay, Turing, van Saarloos   +26 more
core   +4 more sources

Spatially Dependent Parameter Estimation and Nonlinear Data Assimilation by Autosynchronization of a System of Partial Differential Equations

, 2012
Given multiple images that describe chaotic reaction-diffusion dynamics, parameters of a PDE model are estimated using autosynchronization, where parameters are controlled by synchronization of the model to the observed data.
Erik M. Bollt, Schumann-Bischoff J., Sean Kramer   +2 more
core   +1 more source

Quantitative dynamics of irreversible enzyme reaction–diffusion systems ^* [PDF]

, 2022
Marcel Braukhoff, Amit Einav, Bao Quoc Tang   +2 more
openalex   +1 more source

Exact Results for a Three-Body Reaction-Diffusion System

, 1992
A system of particles hopping on a line, singly or as merged pairs, and annihilating in groups of three on encounters, is solved exactly for certain symmetrical initial conditions.
A. A. Lushnikov, A. J. Bray, B. Derrida, D. ben-Avraham, D. C. Torney, J. G. Amar, K. Kang, L. Braunstein, M. Bramson, M. Bramson, M. Scheucher, T. Liggett, V. Kuzovkov, Vladimir Privman, Z. Racz   +14 more
core   +1 more source

Quantification of fluctuations from fluorescence correlation spectroscopy experiments in reaction-diffusion systems [PDF]

, 2020
Cecilia Villarruel, Silvina Ponce Dawson
openalex   +1 more source

Effect of Diffusion and Cross-Diffusion in a Predator-Prey Model with a Transmissible Disease in the Predator Species

Abstract and Applied Analysis, 2014
We study a Lotka-Volterra type predator-prey model with a transmissible disease in the predator population. We concentrate on the effect of diffusion and cross-diffusion on the emergence of stationary patterns.
Guohong Zhang, Xiaoli Wang
doaj   +1 more source

Pattern formation driven by cross--diffusion in a 2D domain

, 2012
In this work we investigate the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Volterra kinetics. The linear stability analysis shows that cross-diffusion,
Gambino, G., Lombardo, M. C., Sammartino, M.   +2 more
core   +1 more source

Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description [PDF]

, 2006
Su-Chan Park
openalex   +1 more source

Effect of Advection on the Modified Schnakenberg System [PDF]

ITM Web of Conferences
The Schnakenberg system is a mathematical model that describes the diffusive dynamics of chemical reactions and the formation of space-time patterns.
Hamidah Inas, Sutrima Sutrima
doaj   +1 more source

Modeling nonlocal behavior in epidemics via a reaction-diffusion system incorporating population movement along a network. [PDF]

Comput Methods Appl Mech Eng, 2022
Grave M, Viguerie A, Barros GF, Reali A, Andrade RFS, Coutinho ALGA.   +5 more
europepmc   +1 more source