8 citations · 26 across the 17 of their papers we have counts for
8 papers · 1 filter
Fragmentation-coagulation processes with advection or diffusion in space
Jacek Banasiak, Nduduzo Majozi
In this paper, we consider a continuous fragmentation--coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion.…
Growth-fragmentation equations with McKendrick--von Foerster boundary condition
Jacek Banasiak, David Poka, Sergey K. Shindin
The paper concerns the well-posedness and long-term asymptotics of growth--fragmentation equation with unbounded fragmentation rates and McKendrick--von Foerster boundary condition…
Explicit solutions to some fragmentation equations with growth or decay
Jacek Banasiak, David Wetsi Poka, Sergey Shindin
In this paper, we provide a systematic way of finding explicit solutions for a class of continuous fragmentation equations with growth or decay in the state space and derive explic…
Telegraph systems on networks and port-Hamiltonians. III. Explicit representation and long-term behaviour
Jacek Banasiak, Adam Błoch
In this paper we present an explicit formula for the semigroup governing the solution to hyperbolic systems on a metric graph, satisfying general linear Kirchhoff's type boundary c…
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness
Jacek Banasiak, Adam Błoch
The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's type at the nodes. We d…
Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients
Jacek Banasiak
In this paper we prove the existence of global classical solutions to continuous coagulation-fragmentation equations with unbounded coefficients under the sole assumption that the…