3 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation
Sergey Shindin, Nabendra Parumasur, Olabisi Aluko
In the paper, we study approximation properties of the Malmquist-Takenaka-Christov (MTC) system. We show that the discrete MTC approximations converge rapidly under mild restrictio…
Analysis and Simulations of the Discrete Fragmentation Equation with Decay
Jacek Banasiak, Luke O. Joel, Sergey Shindin
Fragmentation--coagulation processes, in which aggregates can break up or get together, often occur together with decay processes in which the components can be removed from the ag…
The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation
Jacek Banasiak, Luke O. Joel, Sergey Shindin
In this paper we study the discrete coagulation--fragmentation models with growth, decay and sedimentation. We demonstrate the existence and uniqueness of classical global solution…