AbstractWe consider an infinite system of reaction–diffusion equations that models aggregation of particles. Under suitable assumptions on the diffusion coefficients and aggregation rates, we show that this system can be reduced to a scalar equation, for which an explicit self-similar solution is obtained. In addition, pointwise bounds for the solutions of associated initial and initial-boundary value problems are provided
The Smoluchowski equations, which describe coalescence growth, take into account combination reactio...
AbstractIn this paper we consider a reaction–diffusion–chemotaxis aggregation model of Keller–Segel ...
Typically, aggregation-diffusion is modeled by parabolic equations that combine linear or nonlinear ...
AbstractWe consider an infinite system of reaction–diffusion equations that models aggregation of pa...
In this paper we generalize recent results of Kreer and Penrose by showing that solut...
AbstractThe Smoluchowski equations are a system of partial differential equations modelling the diff...
We report a number of exact solutions for temperature-dependent Smoluchowski equations. These equati...
The dynamics of cluster growth can be modelled by the following infinite system of ordinary differen...
We establish the existence of solutions to a class of nonlinear stochastic differential equations of...
criticality in a discrete model for Smoluchowski’s equation with limited aggregations Mathieu Merle ...
In this PhD thesis, we study limited aggregation models, modeling coalescence of particles with "arm...
The Smoluchowski equation is a system of partial differential equations modelling the diffusion and ...
The coagulation (or aggregation) equation was introduced by Smoluchowski in 1916 to describe the clu...
Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and...
The Smoluchowski equations of coagulation are solved analytically in two cases involving a finite cu...
The Smoluchowski equations, which describe coalescence growth, take into account combination reactio...
AbstractIn this paper we consider a reaction–diffusion–chemotaxis aggregation model of Keller–Segel ...
Typically, aggregation-diffusion is modeled by parabolic equations that combine linear or nonlinear ...
AbstractWe consider an infinite system of reaction–diffusion equations that models aggregation of pa...
In this paper we generalize recent results of Kreer and Penrose by showing that solut...
AbstractThe Smoluchowski equations are a system of partial differential equations modelling the diff...
We report a number of exact solutions for temperature-dependent Smoluchowski equations. These equati...
The dynamics of cluster growth can be modelled by the following infinite system of ordinary differen...
We establish the existence of solutions to a class of nonlinear stochastic differential equations of...
criticality in a discrete model for Smoluchowski’s equation with limited aggregations Mathieu Merle ...
In this PhD thesis, we study limited aggregation models, modeling coalescence of particles with "arm...
The Smoluchowski equation is a system of partial differential equations modelling the diffusion and ...
The coagulation (or aggregation) equation was introduced by Smoluchowski in 1916 to describe the clu...
Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and...
The Smoluchowski equations of coagulation are solved analytically in two cases involving a finite cu...
The Smoluchowski equations, which describe coalescence growth, take into account combination reactio...
AbstractIn this paper we consider a reaction–diffusion–chemotaxis aggregation model of Keller–Segel ...
Typically, aggregation-diffusion is modeled by parabolic equations that combine linear or nonlinear ...
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