Determining the fractal dimension associated with the percolating interface of chemical wave fronts, we show that two different types of reaction-diffusion fronts, propagating either into a stable or an unstable stationary state, belong to the same universality class as pure diffusion fronts. The results are deduced from microscopic simulations and stochastic partial differential equations
The propagation of a front (we use the model of a forest fire) in a bidimensional random lattice is ...
Reaction-diffusion waves in multiple spatial dimensions advance at a rate that strongly depends on t...
When viewed at an appropriate scale, a disordered medium can behave as if it is strictly less than t...
The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-tra...
Using a two dimensional simulation, a diffusion front is shown to have a fractal geometry in a range...
This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation...
The known properties of diffusion on fractals are reviewed in order to give a general outlook of the...
We present new analytical tools able to predict the averaged behavior of fronts spreading through se...
We present new analytical tools able to predict the averaged behavior of fronts spreading through se...
We study systems of reaction diffusion type for two species in one space dimension and investigate ...
Based on a recent work on traveling waves in spatially nonlocal reaction-diffusion equations, we inv...
Reaction-diffusion processes in two-dimensional percolating structures are investigated. Two differe...
A new approach, based on upper and lower solutions, was recently employed by the same authors to un...
A renormalisation approach to investigate travelling wave solutions of an excitable reaction- diusio...
Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intu...
The propagation of a front (we use the model of a forest fire) in a bidimensional random lattice is ...
Reaction-diffusion waves in multiple spatial dimensions advance at a rate that strongly depends on t...
When viewed at an appropriate scale, a disordered medium can behave as if it is strictly less than t...
The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-tra...
Using a two dimensional simulation, a diffusion front is shown to have a fractal geometry in a range...
This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation...
The known properties of diffusion on fractals are reviewed in order to give a general outlook of the...
We present new analytical tools able to predict the averaged behavior of fronts spreading through se...
We present new analytical tools able to predict the averaged behavior of fronts spreading through se...
We study systems of reaction diffusion type for two species in one space dimension and investigate ...
Based on a recent work on traveling waves in spatially nonlocal reaction-diffusion equations, we inv...
Reaction-diffusion processes in two-dimensional percolating structures are investigated. Two differe...
A new approach, based on upper and lower solutions, was recently employed by the same authors to un...
A renormalisation approach to investigate travelling wave solutions of an excitable reaction- diusio...
Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intu...
The propagation of a front (we use the model of a forest fire) in a bidimensional random lattice is ...
Reaction-diffusion waves in multiple spatial dimensions advance at a rate that strongly depends on t...
When viewed at an appropriate scale, a disordered medium can behave as if it is strictly less than t...
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