The discrete coagulation-fragmentation system

In this thesis, we examine an infinite system of ordinary differential equations that models the evolution of fragmenting and coalescing discrete-sized particle clusters.We express this discrete coagulation-fragmentation system as an abstract Cauchy problem posed in an appropriate Banach space of sequences. The theory of operator semigroups is then used to establish the existence and uniqueness of solutions. We also investigate properties of the solutions, such as positivity, mass conservation and asymptotic behaviour. A main aim of this thesis is to relax the assumptions that have previously been required, when using a semigroupapproach, to obtain the existence and uniqueness of physically relevant solutions.Moreover, we consider the case when the infinite system is non-autonomous dueto time-dependent coagulation and fragmentation coefficients.

Name dc:type.qualificationname

phd

Level dc:type.qualificationlevel

doctoral-pg

Grantor dc:publisher.institution

University of Strathclyde

Year dc:date.issued

2020

Author dc:creator

• Kerr, Lyndsay

Advisors dc:contributor.advisor

• Lamb, Wilson
• Langer, Matthias

DOI

10.48730/pa0q-kp60

Identifier

T15514

Author Identifier

201669016

OAI identifier oai:identifier

oai:strathclyde:wm117p04t