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**27**.

## Article

Lamb, Wilson and McBride, Adam and Smith, Ann Louise
(2013)
*Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach.*
Discrete and Continuous Dynamical Systems - Series A, 33 (11/12).
pp. 5177-5187.
ISSN 1078-0947

Banasiak, Jacek and Lamb, Wilson and Langer, Matthias
(2013)
*Strong fragmentation and coagulation with power-law rates.*
Journal of Engineering Mathematics, 82 (1).
pp. 199-215.
ISSN 0022-0833

Mulheran, Paul and O'Neill, Kenneth Peter and Grinfeld, Michael and Lamb, Wilson
(2012)
*Distributional fixed-point equations for island nucleation in one dimension : a retrospective approach for capture zone scaling.*
Physical Review E, 86 (5).
ISSN 1539-3755

Banasiak, Jacek and Lamb, Wilson
(2012)
*Analytic fragmentation semigroups and continuous coagulationâ€“fragmentation equations with unbounded rates.*
Journal of Mathematical Analysis and Applications, 391 (1).
pp. 312-322.
ISSN 0022-247X

Banasiak, Jacek and Lamb, Wilson
(2012)
*The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth.*
Kinetic and Related Models, 5 (2).
pp. 223-236.
ISSN 1937-5093

Smith, Ann Louise and Lamb, Wilson and Langer, Matthias and McBride, Adam
(2012)
*Discrete fragmentation with mass loss.*
Journal of Evolution Equations, 12 (1).
pp. 181-201.
ISSN 1424-3199

O'Neill, Kenneth Peter and Grinfeld, Michael and Lamb, Wilson and Mulheran, Paul
(2012)
*Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models.*
Physical Review E, 85 (2).
ISSN 1539-3755

Grinfeld, M. and Lamb, W. and O'Neill, K. P. and Mulheran, P. A.
(2012)
*Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach.*
Journal of Physics A: Mathematical and Theoretical, 45 (1).
-.
ISSN 1751-8113

Banasiak, Jacek and Lamb, Wilson
(2011)
*Global strict solutions to continuous coagulationâ€“fragmentation equations with strong fragmentation.*
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (03).
pp. 465-480.

Khan, Khaula Naeem and Lamb, Wilson and Mcbride, Adam
(2011)
*Fractional calculus of periodic distributions.*
Fractional Calculus and Applied Analysis, 14 (2).
pp. 260-283.
ISSN 1314-2224

McGuiness, C.G. and Lamb, Wilson and Mcbride, Adam
(2011)
*On a class of continuous fragmentation equations with singular initial conditions.*
Mathematical Methods in the Applied Sciences, 34.
pp. 1181-1192.
ISSN 0170-4214

Lamb, Wilson and Mcbride, Adam
(2011)
*A distributional approach to fragmentation equations.*
Communications in Applied Analysis, 15.
pp. 511-520.
ISSN 1083-2564

McBride, A.C. and Smith, A.L. and Lamb, W.
(2010)
*Strongly differentiable solutions of the discrete coagulationâ€“fragmentation equation.*
Physica D: Nonlinear Phenomena, 239 (15).
pp. 1436-1445.

Lamb, W. and McBride, A.C. and McGuinness, G.C.
(2010)
*Fragmentation arising from a distributional initial condition.*
Mathematical Methods in the Applied Sciences, 33 (10).
pp. 1183-1191.
ISSN 0170-4214

Banasiak, Jacek and Lamb, Wilson
(2009)
*Coagulation, fragmentation and growth processes in a size structured population.*
Discrete and Continuous Dynamical Systems - Series B, 11 (3).
pp. 563-585.
ISSN 1531-3492

Khan, K.N. and Lamb, W. and McBride, A.C.
(2009)
*Fractional transformations of generalised functions.*
Integral Transforms and Special Functions, 20 (6).
pp. 471-490.
ISSN 1065-2469

Belleni-Morante, A. and Lamb, W. and McBride, A.C.
(2009)
*A photon transport problem with a time-dependent point source.*
Analysis and Applications, 7 (1).
pp. 1-19.
ISSN 0219-5305

Blair, P.N. and Lamb, W. and Stewart, I.W.
(2007)
*Coagulation and fragmentation with discrete mass loss.*
Journal of Mathematical Analysis and Applications, 329 (2).
pp. 1285-1302.
ISSN 0022-247X

Belleni-Morante, A. and Lamb, W. and McBride, A.C.
(2007)
*Photon transport problems involving a point source.*
Analysis and Applications, 5 (1).
pp. 77-93.
ISSN 0219-5305

Banasiak, J. and Lamb, W.
(2006)
*On a coagulation and fragmentation equation with mass loss.*
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 136 (6).
pp. 1157-1173.

Lamb, W. and McGhee, D.F.
(2004)
*Eigenfunction expansions for generalized functions of several variables.*
Integral Transforms and Special Functions, 15 (3).
pp. 239-249.
ISSN 1065-2469

Lamb, W.
(2004)
*Existence and uniqueness results for the continuous coagulation and fragmentation equation.*
Mathematical Methods in the Applied Sciences, 27 (6).
pp. 703-721.
ISSN 0170-4214

Banasiak, Jacek and Lamb, Wilson
(2003)
*On the application of substochastic semigroup theory to fragmentation models with mass loss.*
Journal of Mathematical Analysis and Applications, 284 (1).
pp. 9-30.
ISSN 0022-247X

Lamb, Wilson and Murdoch, Ian and Stewart, John
(2001)
*On an operator identity central to projection operator methodology.*
Physica A: Statistical Mechanics and its Applications, 298 (1).
pp. 121-139.
ISSN 0378-4371

## Book Section

Lamb, W. and Stewart, I.W.
(2008)
*Stability for a class of equilibrium solutions to the coagulation-fragmentation equation.*
In:
Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics.
AIP Conference Proceedings, 1048
.
American Institute of Physics, pp. 942-945.
ISBN 978-0-7354-0576-9

Blair, P.N. and Lamb, W. and Stewart, Iain W.
(2004)
*An application of semigroup theory to a fragmentation equation.*
In:
Integral Methods in Science and Engineering.
Birkhauser, Boston, USA, pp. 19-24.
ISBN 081764377X

Lamb, W. and McBride, A.
(2003)
*On a continuous coagulation and fragmentation equation with a singular fragmentation kernel.*
In:
Evolution Equations.
Lecture Notes in Pure and Applied Mathematics, 234
.
Marcel Dekker, New York, USA, pp. 281-298.
ISBN 0824709756

**Sat Jun 24 08:14:05 2017 BST**.