Results 21 to 30 of about 893,395 (191)
Characterization of Turing diffusion-driven instability on evolving domains [PDF]
, 2012 In this paper we establish a general theoretical framework for Turing diffusion-driven instability for reaction-diffusion systems on time-dependent evolving domains.
A. Gierer +43 more
core +1 more source
Fluctuations and the role of collision duration in reaction-diffusion systems [PDF]
, 2013 In a reaction-diffusion system, fluctuations in both diffusion and reaction events, have important effects on the steady-state statistics of the system.
Lee, Chiu Fan, Peruani, Fernando
core +5 more sources
Advances in Difference Equations, 2018 In this paper, we propose and investigate persistence and Turing instability of a cross-diffusion predator–prey system with generalist predator.
Baojun Miao
doaj +1 more source
Electricity-reaction–diffusion system for microbially induced carbonate precipitation
Soils and Foundations, 2022 Microbially induced carbonate precipitation (MICP) has attracted attention as a novel soil-improvement technique. The precipitation and growth of calcium carbonate on the surface of sand and in its pores can be simulated using the recently proposed ...
Ibuki Nishimura, Hitoshi Matsubara
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Entropy, 2020 The known three-component reaction−diffusion system modeling competition and co-existence of different language speakers is under study. A modification of this system is proposed, which is examined by the Lie symmetry method; furthermore, exact ...
Roman Cherniha, Vasyl’ Davydovych
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Concentration for One and Two Species One-Dimensional Reaction-Diffusion Systems [PDF]
, 1995 We look for similarity transformations which yield mappings between different one-dimensional reaction-diffusion processes. In this way results obtained for special systems can be generalized to equivalent reaction-diffusion models.
Argyrakis P +16 more
core +1 more source
On a Nonlinear System of Reaction-Diffusion Equations
Nonlinear Analysis, 2006 The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions, − div |∇u1| p1−2∇u1 = λuα11 1 u α12 2 ...
G. A. Afrouzi, S. H. Rasouli
doaj +1 more source
Decay to equilibrium for energy-reaction-diffusion systems [PDF]
, 2016 We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total energy is conserved, the total entropy serves as a driving functional such that the full coupled system is a gradient flow.
Haskovec, Jan +3 more
core +2 more sources
An analytical velocity field of spiral tips in reaction–diffusion systems
New Journal of Physics, 2020 Spiral waves are ubiquitous in diverse physical, chemical, and biological systems. The tip (phase singularity) of a spiral wave is considered to represent its organizing center.
De-Bei Pan +4 more
doaj +1 more source
Field theory of absorbing phase transitions with a non-diffusive conserved field [PDF]
, 2000 We investigate the critical behavior of a reaction-diffusion system exhibiting a continuous absorbing-state phase transition. The reaction-diffusion system strictly conserves the total density of particles, represented as a non-diffusive conserved field,
A. Chessa +32 more
core +3 more sources