8 citations · 26 across the 17 of their papers we have counts for
19 papers
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…
On spectral gaps of growth-fragmentation semigroups in higher moment spaces
Mustapha Mokhtar-Kharroubi, Jacek Banasiak
We present a general approach to proving the existence of spectral gaps and asynchronous exponential growth for growth-fragmentation semigroups in moment spaces $L^{1}(\mathbb{R}_{…
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 type systems on networks and port-Hamiltonians. II. Graph realizability
Jacek Banasiak, Adam Błoch
Hyperbolic systems on networks often can be written as systems of first order equations on an interval, coupled by transmission conditions at the endpoints, also called port-Hamilt…