We consider an irreversible autocatalytic conversion reaction A+B->2A under subdiffusion described by continuous-time random walks. The reactants transformations take place independently of their motion and are described by constant rates. The analog of this reaction in the case of normal diffusion is described by the Fisher-Kolmogorov-Petrovskii-Piskunov equation leading to the existence of a nonzero minimal front propagation velocity, which is really attained by the front in its stable motion. We show that for subdiffusion, this minimal propagation velocity is zero, which suggests propagation failure
Recently there has been a certain controversy about the scaling properties of reaction-subdiffusion ...
The paper deals with the existence and properties of frontpropagation between the stationary states ...
We explore a reaction-dispersal mechanism for the generation of wave fronts which consists of a set ...
We consider an irreversible autocatalytic conversion reaction A+B->2A under subdiffusion described b...
We study a discrete model of the irreversible autocatalytic reaction A + B -> 2A in one dimension. L...
We consider a linear reversible isomerization reaction A B under subdiffusion described by continuou...
Die vorliegende Arbeit befasst sich mit der Verallgemeinerung von Reaktions-Diffusions-Systemen auf ...
We present a geometric approach to the problem of propagating fronts into an unstable state, valid f...
We consider numerically the front propagation in a three-dimensional, diffusion-controlled $A+B\to...
We study a one-dimensional reaction-diffusion system which describes an isothermal autocatalytic che...
We study a reactive field transported by a non-Gaussian process instead of a standard diffusion. If ...
We study a one-dimensional reaction-diffusion system describing an isothermal autocatalytic chemical...
We study the persistence and propagation (or blocking) phenomena for a species in periodically hosti...
We investigate the continuous dependence of the minimal speed of propagation and the profile of the ...
To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we di...
Recently there has been a certain controversy about the scaling properties of reaction-subdiffusion ...
The paper deals with the existence and properties of frontpropagation between the stationary states ...
We explore a reaction-dispersal mechanism for the generation of wave fronts which consists of a set ...
We consider an irreversible autocatalytic conversion reaction A+B->2A under subdiffusion described b...
We study a discrete model of the irreversible autocatalytic reaction A + B -> 2A in one dimension. L...
We consider a linear reversible isomerization reaction A B under subdiffusion described by continuou...
Die vorliegende Arbeit befasst sich mit der Verallgemeinerung von Reaktions-Diffusions-Systemen auf ...
We present a geometric approach to the problem of propagating fronts into an unstable state, valid f...
We consider numerically the front propagation in a three-dimensional, diffusion-controlled $A+B\to...
We study a one-dimensional reaction-diffusion system which describes an isothermal autocatalytic che...
We study a reactive field transported by a non-Gaussian process instead of a standard diffusion. If ...
We study a one-dimensional reaction-diffusion system describing an isothermal autocatalytic chemical...
We study the persistence and propagation (or blocking) phenomena for a species in periodically hosti...
We investigate the continuous dependence of the minimal speed of propagation and the profile of the ...
To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we di...
Recently there has been a certain controversy about the scaling properties of reaction-subdiffusion ...
The paper deals with the existence and properties of frontpropagation between the stationary states ...
We explore a reaction-dispersal mechanism for the generation of wave fronts which consists of a set ...